Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(37,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.15 | ||
Character | \(\chi\) | \(=\) | 930.37 |
Dual form | 930.2.be.b.553.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | −0.258819 | + | 0.965926i | −0.149429 | + | 0.557678i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 2.23583 | − | 0.0323803i | 0.999895 | − | 0.0144809i | ||||
\(6\) | −0.866025 | + | 0.500000i | −0.353553 | + | 0.204124i | ||||
\(7\) | 0.933337 | − | 3.48326i | 0.352768 | − | 1.31655i | −0.530501 | − | 0.847684i | \(-0.677996\pi\) |
0.883270 | − | 0.468865i | \(-0.155337\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | 1.60387 | + | 1.55808i | 0.507188 | + | 0.492707i | ||||
\(11\) | 0.937738 | + | 0.541403i | 0.282739 | + | 0.163239i | 0.634663 | − | 0.772789i | \(-0.281139\pi\) |
−0.351924 | + | 0.936029i | \(0.614472\pi\) | |||||||
\(12\) | −0.965926 | − | 0.258819i | −0.278839 | − | 0.0747146i | ||||
\(13\) | 0.708853 | − | 0.189937i | 0.196600 | − | 0.0526789i | −0.159175 | − | 0.987250i | \(-0.550883\pi\) |
0.355776 | + | 0.934571i | \(0.384217\pi\) | |||||||
\(14\) | 3.12301 | − | 1.80307i | 0.834659 | − | 0.481890i | ||||
\(15\) | −0.547399 | + | 2.16803i | −0.141338 | + | 0.559783i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 1.82022 | + | 0.487725i | 0.441467 | + | 0.118291i | 0.472704 | − | 0.881221i | \(-0.343278\pi\) |
−0.0312370 | + | 0.999512i | \(0.509945\pi\) | |||||||
\(18\) | −0.258819 | − | 0.965926i | −0.0610042 | − | 0.227671i | ||||
\(19\) | 2.84515 | − | 1.64265i | 0.652722 | − | 0.376849i | −0.136776 | − | 0.990602i | \(-0.543674\pi\) |
0.789498 | + | 0.613753i | \(0.210341\pi\) | |||||||
\(20\) | 0.0323803 | + | 2.23583i | 0.00724045 | + | 0.499948i | ||||
\(21\) | 3.12301 | + | 1.80307i | 0.681496 | + | 0.393462i | ||||
\(22\) | 0.280251 | + | 1.04591i | 0.0597497 | + | 0.222989i | ||||
\(23\) | 4.61672 | + | 4.61672i | 0.962653 | + | 0.962653i | 0.999327 | − | 0.0366741i | \(-0.0116763\pi\) |
−0.0366741 | + | 0.999327i | \(0.511676\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | 4.99790 | − | 0.144794i | 0.999581 | − | 0.0289588i | ||||
\(26\) | 0.635540 | + | 0.366929i | 0.124640 | + | 0.0719608i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | 3.48326 | + | 0.933337i | 0.658275 | + | 0.176384i | ||||
\(29\) | −4.96922 | −0.922761 | −0.461380 | − | 0.887202i | \(-0.652646\pi\) | ||||
−0.461380 | + | 0.887202i | \(0.652646\pi\) | |||||||
\(30\) | −1.92010 | + | 1.14596i | −0.350560 | + | 0.209223i | ||||
\(31\) | 4.58282 | − | 3.16192i | 0.823099 | − | 0.567898i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −0.765660 | + | 0.765660i | −0.133284 | + | 0.133284i | ||||
\(34\) | 0.942213 | + | 1.63196i | 0.161588 | + | 0.279879i | ||||
\(35\) | 1.97400 | − | 7.81822i | 0.333666 | − | 1.32152i | ||||
\(36\) | 0.500000 | − | 0.866025i | 0.0833333 | − | 0.144338i | ||||
\(37\) | −7.58688 | − | 2.03290i | −1.24727 | − | 0.334206i | −0.425992 | − | 0.904727i | \(-0.640075\pi\) |
−0.821283 | + | 0.570521i | \(0.806741\pi\) | |||||||
\(38\) | 3.17335 | + | 0.850297i | 0.514786 | + | 0.137936i | ||||
\(39\) | 0.733859i | 0.117511i | ||||||||
\(40\) | −1.55808 | + | 1.60387i | −0.246354 | + | 0.253594i | ||||
\(41\) | −1.80041 | + | 3.11840i | −0.281177 | + | 0.487013i | −0.971675 | − | 0.236321i | \(-0.924058\pi\) |
0.690498 | + | 0.723334i | \(0.257391\pi\) | |||||||
\(42\) | 0.933337 | + | 3.48326i | 0.144017 | + | 0.537479i | ||||
\(43\) | −1.95268 | + | 7.28750i | −0.297781 | + | 1.11133i | 0.641202 | + | 0.767372i | \(0.278436\pi\) |
−0.938984 | + | 0.343962i | \(0.888231\pi\) | |||||||
\(44\) | −0.541403 | + | 0.937738i | −0.0816196 | + | 0.141369i | ||||
\(45\) | −1.95248 | − | 1.08987i | −0.291058 | − | 0.162469i | ||||
\(46\) | 6.52903i | 0.962653i | ||||||||
\(47\) | −1.04488 | − | 1.04488i | −0.152412 | − | 0.152412i | 0.626782 | − | 0.779194i | \(-0.284372\pi\) |
−0.779194 | + | 0.626782i | \(0.784372\pi\) | |||||||
\(48\) | 0.258819 | − | 0.965926i | 0.0373573 | − | 0.139419i | ||||
\(49\) | −5.19982 | − | 3.00212i | −0.742831 | − | 0.428874i | ||||
\(50\) | 3.63644 | + | 3.43167i | 0.514270 | + | 0.485311i | ||||
\(51\) | −0.942213 | + | 1.63196i | −0.131936 | + | 0.228520i | ||||
\(52\) | 0.189937 | + | 0.708853i | 0.0263395 | + | 0.0983002i | ||||
\(53\) | 1.37392 | − | 0.368140i | 0.188722 | − | 0.0505679i | −0.163220 | − | 0.986590i | \(-0.552188\pi\) |
0.351942 | + | 0.936022i | \(0.385521\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | 2.11416 | + | 1.18012i | 0.285073 | + | 0.159128i | ||||
\(56\) | 1.80307 | + | 3.12301i | 0.240945 | + | 0.417329i | ||||
\(57\) | 0.850297 | + | 3.17335i | 0.112625 | + | 0.420321i | ||||
\(58\) | −3.51377 | − | 3.51377i | −0.461380 | − | 0.461380i | ||||
\(59\) | 5.72773 | − | 3.30690i | 0.745686 | − | 0.430522i | −0.0784468 | − | 0.996918i | \(-0.524996\pi\) |
0.824133 | + | 0.566396i | \(0.191663\pi\) | |||||||
\(60\) | −2.16803 | − | 0.547399i | −0.279891 | − | 0.0706690i | ||||
\(61\) | − | 5.17239i | − | 0.662256i | −0.943586 | − | 0.331128i | \(-0.892571\pi\) | ||
0.943586 | − | 0.331128i | \(-0.107429\pi\) | |||||||
\(62\) | 5.47636 | + | 1.00473i | 0.695498 | + | 0.127601i | ||||
\(63\) | −2.54992 | + | 2.54992i | −0.321260 | + | 0.321260i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 1.57873 | − | 0.447620i | 0.195817 | − | 0.0555204i | ||||
\(66\) | −1.08281 | −0.133284 | ||||||||
\(67\) | 1.63393 | − | 0.437811i | 0.199617 | − | 0.0534872i | −0.157625 | − | 0.987499i | \(-0.550384\pi\) |
0.357242 | + | 0.934012i | \(0.383717\pi\) | |||||||
\(68\) | −0.487725 | + | 1.82022i | −0.0591454 | + | 0.220733i | ||||
\(69\) | −5.65431 | + | 3.26452i | −0.680699 | + | 0.393002i | ||||
\(70\) | 6.92414 | − | 4.13249i | 0.827593 | − | 0.493927i | ||||
\(71\) | −6.67279 | + | 11.5576i | −0.791914 | + | 1.37164i | 0.132866 | + | 0.991134i | \(0.457582\pi\) |
−0.924780 | + | 0.380502i | \(0.875751\pi\) | |||||||
\(72\) | 0.965926 | − | 0.258819i | 0.113835 | − | 0.0305021i | ||||
\(73\) | −14.4276 | + | 3.86587i | −1.68862 | + | 0.452466i | −0.970034 | − | 0.242968i | \(-0.921879\pi\) |
−0.718591 | + | 0.695433i | \(0.755212\pi\) | |||||||
\(74\) | −3.92726 | − | 6.80221i | −0.456534 | − | 0.790741i | ||||
\(75\) | −1.15369 | + | 4.86508i | −0.133217 | + | 0.561771i | ||||
\(76\) | 1.64265 | + | 2.84515i | 0.188425 | + | 0.326361i | ||||
\(77\) | 2.76108 | − | 2.76108i | 0.314654 | − | 0.314654i | ||||
\(78\) | −0.518917 | + | 0.518917i | −0.0587557 | + | 0.0587557i | ||||
\(79\) | 4.54232 | + | 7.86753i | 0.511051 | + | 0.885166i | 0.999918 | + | 0.0128080i | \(0.00407702\pi\) |
−0.488867 | + | 0.872358i | \(0.662590\pi\) | |||||||
\(80\) | −2.23583 | + | 0.0323803i | −0.249974 | + | 0.00362023i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −3.47813 | + | 0.931962i | −0.384095 | + | 0.102918i | ||||
\(83\) | −5.99147 | + | 1.60541i | −0.657649 | + | 0.176217i | −0.572185 | − | 0.820125i | \(-0.693904\pi\) |
−0.0854644 | + | 0.996341i | \(0.527237\pi\) | |||||||
\(84\) | −1.80307 | + | 3.12301i | −0.196731 | + | 0.340748i | ||||
\(85\) | 4.08549 | + | 1.03153i | 0.443134 | + | 0.111885i | ||||
\(86\) | −6.53380 | + | 3.77229i | −0.704557 | + | 0.406776i | ||||
\(87\) | 1.28613 | − | 4.79990i | 0.137887 | − | 0.514603i | ||||
\(88\) | −1.04591 | + | 0.280251i | −0.111494 | + | 0.0298749i | ||||
\(89\) | −0.807115 | −0.0855541 | −0.0427770 | − | 0.999085i | \(-0.513621\pi\) | ||||
−0.0427770 | + | 0.999085i | \(0.513621\pi\) | |||||||
\(90\) | −0.609953 | − | 2.15127i | −0.0642947 | − | 0.226764i | ||||
\(91\) | − | 2.64640i | − | 0.277418i | ||||||
\(92\) | −4.61672 | + | 4.61672i | −0.481327 | + | 0.481327i | ||||
\(93\) | 1.86806 | + | 5.24503i | 0.193709 | + | 0.543884i | ||||
\(94\) | − | 1.47769i | − | 0.152412i | ||||||
\(95\) | 6.30809 | − | 3.76481i | 0.647197 | − | 0.386262i | ||||
\(96\) | 0.866025 | − | 0.500000i | 0.0883883 | − | 0.0510310i | ||||
\(97\) | −5.50771 | − | 5.50771i | −0.559224 | − | 0.559224i | 0.369863 | − | 0.929086i | \(-0.379405\pi\) |
−0.929086 | + | 0.369863i | \(0.879405\pi\) | |||||||
\(98\) | −1.55401 | − | 5.79964i | −0.156979 | − | 0.585852i | ||||
\(99\) | −0.541403 | − | 0.937738i | −0.0544131 | − | 0.0942462i | ||||
\(100\) | 0.144794 | + | 4.99790i | 0.0144794 | + | 0.499790i | ||||
\(101\) | 2.86245 | 0.284825 | 0.142412 | − | 0.989807i | \(-0.454514\pi\) | ||||
0.142412 | + | 0.989807i | \(0.454514\pi\) | |||||||
\(102\) | −1.82022 | + | 0.487725i | −0.180228 | + | 0.0482920i | ||||
\(103\) | −2.21078 | − | 8.25075i | −0.217835 | − | 0.812971i | −0.985149 | − | 0.171700i | \(-0.945074\pi\) |
0.767314 | − | 0.641271i | \(-0.221593\pi\) | |||||||
\(104\) | −0.366929 | + | 0.635540i | −0.0359804 | + | 0.0623199i | ||||
\(105\) | 7.04091 | + | 3.93024i | 0.687122 | + | 0.383552i | ||||
\(106\) | 1.23182 | + | 0.711191i | 0.119645 | + | 0.0690770i | ||||
\(107\) | 4.36689 | − | 16.2974i | 0.422163 | − | 1.57553i | −0.347879 | − | 0.937540i | \(-0.613098\pi\) |
0.770042 | − | 0.637994i | \(-0.220235\pi\) | |||||||
\(108\) | 0.707107 | + | 0.707107i | 0.0680414 | + | 0.0680414i | ||||
\(109\) | 11.1442i | 1.06742i | 0.845668 | + | 0.533709i | \(0.179202\pi\) | ||||
−0.845668 | + | 0.533709i | \(0.820798\pi\) | |||||||
\(110\) | 0.660461 | + | 2.32941i | 0.0629725 | + | 0.222100i | ||||
\(111\) | 3.92726 | − | 6.80221i | 0.372759 | − | 0.645637i | ||||
\(112\) | −0.933337 | + | 3.48326i | −0.0881921 | + | 0.329137i | ||||
\(113\) | −0.136270 | − | 0.508565i | −0.0128192 | − | 0.0478418i | 0.959220 | − | 0.282661i | \(-0.0912170\pi\) |
−0.972039 | + | 0.234819i | \(0.924550\pi\) | |||||||
\(114\) | −1.64265 | + | 2.84515i | −0.153848 | + | 0.266473i | ||||
\(115\) | 10.4717 | + | 10.1727i | 0.976492 | + | 0.948612i | ||||
\(116\) | − | 4.96922i | − | 0.461380i | ||||||
\(117\) | −0.708853 | − | 0.189937i | −0.0655335 | − | 0.0175596i | ||||
\(118\) | 6.38845 | + | 1.71178i | 0.588104 | + | 0.157582i | ||||
\(119\) | 3.39775 | − | 5.88507i | 0.311471 | − | 0.539484i | ||||
\(120\) | −1.14596 | − | 1.92010i | −0.104611 | − | 0.175280i | ||||
\(121\) | −4.91376 | − | 8.51089i | −0.446706 | − | 0.773717i | ||||
\(122\) | 3.65743 | − | 3.65743i | 0.331128 | − | 0.331128i | ||||
\(123\) | −2.54617 | − | 2.54617i | −0.229580 | − | 0.229580i | ||||
\(124\) | 3.16192 | + | 4.58282i | 0.283949 | + | 0.411550i | ||||
\(125\) | 11.1698 | − | 0.485568i | 0.999056 | − | 0.0434306i | ||||
\(126\) | −3.60614 | −0.321260 | ||||||||
\(127\) | −10.2509 | − | 2.74673i | −0.909625 | − | 0.243733i | −0.226480 | − | 0.974016i | \(-0.572722\pi\) |
−0.683145 | + | 0.730283i | \(0.739388\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | −6.53380 | − | 3.77229i | −0.575269 | − | 0.332132i | ||||
\(130\) | 1.43284 | + | 0.799814i | 0.125669 | + | 0.0701483i | ||||
\(131\) | 7.12749 | + | 12.3452i | 0.622732 | + | 1.07860i | 0.988975 | + | 0.148084i | \(0.0473104\pi\) |
−0.366243 | + | 0.930519i | \(0.619356\pi\) | |||||||
\(132\) | −0.765660 | − | 0.765660i | −0.0666421 | − | 0.0666421i | ||||
\(133\) | −3.06629 | − | 11.4435i | −0.265881 | − | 0.992281i | ||||
\(134\) | 1.46495 | + | 0.845786i | 0.126552 | + | 0.0730648i | ||||
\(135\) | 1.55808 | − | 1.60387i | 0.134098 | − | 0.138039i | ||||
\(136\) | −1.63196 | + | 0.942213i | −0.139939 | + | 0.0807941i | ||||
\(137\) | −2.38978 | − | 8.91876i | −0.204172 | − | 0.761981i | −0.989700 | − | 0.143155i | \(-0.954275\pi\) |
0.785528 | − | 0.618826i | \(-0.212391\pi\) | |||||||
\(138\) | −6.30656 | − | 1.68984i | −0.536850 | − | 0.143849i | ||||
\(139\) | 5.27800 | 0.447674 | 0.223837 | − | 0.974627i | \(-0.428142\pi\) | ||||
0.223837 | + | 0.974627i | \(0.428142\pi\) | |||||||
\(140\) | 7.81822 | + | 1.97400i | 0.660760 | + | 0.166833i | ||||
\(141\) | 1.27972 | − | 0.738845i | 0.107772 | − | 0.0622220i | ||||
\(142\) | −12.8908 | + | 3.45409i | −1.08177 | + | 0.289861i | ||||
\(143\) | 0.767551 | + | 0.205665i | 0.0641858 | + | 0.0171985i | ||||
\(144\) | 0.866025 | + | 0.500000i | 0.0721688 | + | 0.0416667i | ||||
\(145\) | −11.1103 | + | 0.160905i | −0.922664 | + | 0.0133624i | ||||
\(146\) | −12.9354 | − | 7.46828i | −1.07055 | − | 0.618080i | ||||
\(147\) | 4.24563 | − | 4.24563i | 0.350174 | − | 0.350174i | ||||
\(148\) | 2.03290 | − | 7.58688i | 0.167103 | − | 0.623637i | ||||
\(149\) | 12.7334 | − | 7.35165i | 1.04316 | − | 0.602270i | 0.122435 | − | 0.992476i | \(-0.460930\pi\) |
0.920728 | + | 0.390206i | \(0.127596\pi\) | |||||||
\(150\) | −4.25591 | + | 2.62435i | −0.347494 | + | 0.214277i | ||||
\(151\) | − | 9.20528i | − | 0.749115i | −0.927204 | − | 0.374558i | \(-0.877795\pi\) | ||
0.927204 | − | 0.374558i | \(-0.122205\pi\) | |||||||
\(152\) | −0.850297 | + | 3.17335i | −0.0689682 | + | 0.257393i | ||||
\(153\) | −1.33249 | − | 1.33249i | −0.107725 | − | 0.107725i | ||||
\(154\) | 3.90475 | 0.314654 | ||||||||
\(155\) | 10.1440 | − | 7.21792i | 0.814789 | − | 0.579758i | ||||
\(156\) | −0.733859 | −0.0587557 | ||||||||
\(157\) | −14.8083 | − | 14.8083i | −1.18183 | − | 1.18183i | −0.979270 | − | 0.202560i | \(-0.935074\pi\) |
−0.202560 | − | 0.979270i | \(-0.564926\pi\) | |||||||
\(158\) | −2.35128 | + | 8.77509i | −0.187058 | + | 0.698109i | ||||
\(159\) | 1.42238i | 0.112802i | ||||||||
\(160\) | −1.60387 | − | 1.55808i | −0.126797 | − | 0.123177i | ||||
\(161\) | 20.3902 | − | 11.7723i | 1.60697 | − | 0.927787i | ||||
\(162\) | −0.258819 | + | 0.965926i | −0.0203347 | + | 0.0758903i | ||||
\(163\) | −11.2096 | + | 11.2096i | −0.878007 | + | 0.878007i | −0.993328 | − | 0.115321i | \(-0.963210\pi\) |
0.115321 | + | 0.993328i | \(0.463210\pi\) | |||||||
\(164\) | −3.11840 | − | 1.80041i | −0.243506 | − | 0.140589i | ||||
\(165\) | −1.68710 | + | 1.73668i | −0.131340 | + | 0.135200i | ||||
\(166\) | −5.37181 | − | 3.10141i | −0.416933 | − | 0.240716i | ||||
\(167\) | −0.601702 | − | 0.161225i | −0.0465611 | − | 0.0124760i | 0.235463 | − | 0.971883i | \(-0.424339\pi\) |
−0.282024 | + | 0.959407i | \(0.591006\pi\) | |||||||
\(168\) | −3.48326 | + | 0.933337i | −0.268739 | + | 0.0720085i | ||||
\(169\) | −10.7919 | + | 6.23073i | −0.830149 | + | 0.479287i | ||||
\(170\) | 2.15947 | + | 3.61828i | 0.165624 | + | 0.277510i | ||||
\(171\) | −3.28530 | −0.251233 | ||||||||
\(172\) | −7.28750 | − | 1.95268i | −0.555667 | − | 0.148891i | ||||
\(173\) | −5.26360 | − | 19.6440i | −0.400184 | − | 1.49351i | −0.812768 | − | 0.582588i | \(-0.802040\pi\) |
0.412584 | − | 0.910920i | \(-0.364626\pi\) | |||||||
\(174\) | 4.30347 | − | 2.48461i | 0.326245 | − | 0.188358i | ||||
\(175\) | 4.16037 | − | 17.5441i | 0.314495 | − | 1.32621i | ||||
\(176\) | −0.937738 | − | 0.541403i | −0.0706847 | − | 0.0408098i | ||||
\(177\) | 1.71178 | + | 6.38845i | 0.128665 | + | 0.480185i | ||||
\(178\) | −0.570717 | − | 0.570717i | −0.0427770 | − | 0.0427770i | ||||
\(179\) | 4.82957 | + | 8.36506i | 0.360979 | + | 0.625234i | 0.988122 | − | 0.153670i | \(-0.0491092\pi\) |
−0.627143 | + | 0.778904i | \(0.715776\pi\) | |||||||
\(180\) | 1.08987 | − | 1.95248i | 0.0812345 | − | 0.145529i | ||||
\(181\) | 3.35633 | + | 1.93778i | 0.249474 | + | 0.144034i | 0.619523 | − | 0.784978i | \(-0.287326\pi\) |
−0.370049 | + | 0.929012i | \(0.620659\pi\) | |||||||
\(182\) | 1.87128 | − | 1.87128i | 0.138709 | − | 0.138709i | ||||
\(183\) | 4.99614 | + | 1.33871i | 0.369325 | + | 0.0989605i | ||||
\(184\) | −6.52903 | −0.481327 | ||||||||
\(185\) | −17.0288 | − | 4.29956i | −1.25198 | − | 0.316110i | ||||
\(186\) | −2.38788 | + | 5.02972i | −0.175088 | + | 0.368797i | ||||
\(187\) | 1.44283 | + | 1.44283i | 0.105510 | + | 0.105510i | ||||
\(188\) | 1.04488 | − | 1.04488i | 0.0762060 | − | 0.0762060i | ||||
\(189\) | −1.80307 | − | 3.12301i | −0.131154 | − | 0.227165i | ||||
\(190\) | 7.12262 | + | 1.79837i | 0.516729 | + | 0.130467i | ||||
\(191\) | 1.39434 | − | 2.41506i | 0.100891 | − | 0.174748i | −0.811161 | − | 0.584823i | \(-0.801164\pi\) |
0.912052 | + | 0.410075i | \(0.134497\pi\) | |||||||
\(192\) | 0.965926 | + | 0.258819i | 0.0697097 | + | 0.0186787i | ||||
\(193\) | −21.6043 | − | 5.78885i | −1.55511 | − | 0.416690i | −0.623998 | − | 0.781426i | \(-0.714493\pi\) |
−0.931111 | + | 0.364736i | \(0.881159\pi\) | |||||||
\(194\) | − | 7.78908i | − | 0.559224i | ||||||
\(195\) | 0.0237626 | + | 1.64079i | 0.00170167 | + | 0.117499i | ||||
\(196\) | 3.00212 | − | 5.19982i | 0.214437 | − | 0.371415i | ||||
\(197\) | 2.43296 | + | 9.07994i | 0.173341 | + | 0.646919i | 0.996828 | + | 0.0795833i | \(0.0253590\pi\) |
−0.823487 | + | 0.567335i | \(0.807974\pi\) | |||||||
\(198\) | 0.280251 | − | 1.04591i | 0.0199166 | − | 0.0743297i | ||||
\(199\) | −7.24941 | + | 12.5563i | −0.513897 | + | 0.890096i | 0.485973 | + | 0.873974i | \(0.338465\pi\) |
−0.999870 | + | 0.0161221i | \(0.994868\pi\) | |||||||
\(200\) | −3.43167 | + | 3.63644i | −0.242655 | + | 0.257135i | ||||
\(201\) | 1.69157i | 0.119314i | ||||||||
\(202\) | 2.02406 | + | 2.02406i | 0.142412 | + | 0.142412i | ||||
\(203\) | −4.63796 | + | 17.3091i | −0.325521 | + | 1.21486i | ||||
\(204\) | −1.63196 | − | 0.942213i | −0.114260 | − | 0.0659681i | ||||
\(205\) | −3.92445 | + | 7.03053i | −0.274095 | + | 0.491034i | ||||
\(206\) | 4.27090 | − | 7.39742i | 0.297568 | − | 0.515403i | ||||
\(207\) | −1.68984 | − | 6.30656i | −0.117452 | − | 0.438336i | ||||
\(208\) | −0.708853 | + | 0.189937i | −0.0491501 | + | 0.0131697i | ||||
\(209\) | 3.55734 | 0.246066 | ||||||||
\(210\) | 2.19958 | + | 7.75777i | 0.151785 | + | 0.535337i | ||||
\(211\) | 0.820503 | + | 1.42115i | 0.0564857 | + | 0.0978361i | 0.892886 | − | 0.450284i | \(-0.148677\pi\) |
−0.836400 | + | 0.548120i | \(0.815344\pi\) | |||||||
\(212\) | 0.368140 | + | 1.37392i | 0.0252839 | + | 0.0943609i | ||||
\(213\) | −9.43675 | − | 9.43675i | −0.646595 | − | 0.646595i | ||||
\(214\) | 14.6119 | − | 8.43618i | 0.998848 | − | 0.576685i | ||||
\(215\) | −4.12990 | + | 16.3569i | −0.281657 | + | 1.11553i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | −6.73648 | − | 18.9143i | −0.457302 | − | 1.28399i | ||||
\(218\) | −7.88012 | + | 7.88012i | −0.533709 | + | 0.533709i | ||||
\(219\) | − | 14.9366i | − | 1.00932i | ||||||
\(220\) | −1.18012 | + | 2.11416i | −0.0795639 | + | 0.142536i | ||||
\(221\) | 1.38290 | 0.0930241 | ||||||||
\(222\) | 7.58688 | − | 2.03290i | 0.509198 | − | 0.136439i | ||||
\(223\) | 4.11555 | − | 15.3595i | 0.275598 | − | 1.02855i | −0.679842 | − | 0.733359i | \(-0.737952\pi\) |
0.955440 | − | 0.295186i | \(-0.0953818\pi\) | |||||||
\(224\) | −3.12301 | + | 1.80307i | −0.208665 | + | 0.120473i | ||||
\(225\) | −4.40071 | − | 2.37356i | −0.293381 | − | 0.158237i | ||||
\(226\) | 0.263253 | − | 0.455967i | 0.0175113 | − | 0.0303305i | ||||
\(227\) | 15.5412 | − | 4.16426i | 1.03151 | − | 0.276392i | 0.296918 | − | 0.954903i | \(-0.404041\pi\) |
0.734590 | + | 0.678511i | \(0.237374\pi\) | |||||||
\(228\) | −3.17335 | + | 0.850297i | −0.210160 | + | 0.0563123i | ||||
\(229\) | 5.97098 | + | 10.3420i | 0.394573 | + | 0.683421i | 0.993047 | − | 0.117722i | \(-0.0375591\pi\) |
−0.598473 | + | 0.801143i | \(0.704226\pi\) | |||||||
\(230\) | 0.211412 | + | 14.5978i | 0.0139401 | + | 0.962552i | ||||
\(231\) | 1.95238 | + | 3.38161i | 0.128457 | + | 0.222494i | ||||
\(232\) | 3.51377 | − | 3.51377i | 0.230690 | − | 0.230690i | ||||
\(233\) | −5.29177 | + | 5.29177i | −0.346675 | + | 0.346675i | −0.858870 | − | 0.512194i | \(-0.828833\pi\) |
0.512194 | + | 0.858870i | \(0.328833\pi\) | |||||||
\(234\) | −0.366929 | − | 0.635540i | −0.0239869 | − | 0.0415466i | ||||
\(235\) | −2.37002 | − | 2.30235i | −0.154603 | − | 0.150189i | ||||
\(236\) | 3.30690 | + | 5.72773i | 0.215261 | + | 0.372843i | ||||
\(237\) | −8.77509 | + | 2.35128i | −0.570003 | + | 0.152732i | ||||
\(238\) | 6.56395 | − | 1.75880i | 0.425477 | − | 0.114006i | ||||
\(239\) | 11.3374 | − | 19.6370i | 0.733357 | − | 1.27021i | −0.222083 | − | 0.975028i | \(-0.571286\pi\) |
0.955440 | − | 0.295184i | \(-0.0953810\pi\) | |||||||
\(240\) | 0.547399 | − | 2.16803i | 0.0353345 | − | 0.139946i | ||||
\(241\) | −3.28196 | + | 1.89484i | −0.211410 | + | 0.122057i | −0.601966 | − | 0.798522i | \(-0.705616\pi\) |
0.390557 | + | 0.920579i | \(0.372283\pi\) | |||||||
\(242\) | 2.54355 | − | 9.49266i | 0.163506 | − | 0.610212i | ||||
\(243\) | −0.965926 | + | 0.258819i | −0.0619642 | + | 0.0166032i | ||||
\(244\) | 5.17239 | 0.331128 | ||||||||
\(245\) | −11.7231 | − | 6.54386i | −0.748964 | − | 0.418072i | ||||
\(246\) | − | 3.60082i | − | 0.229580i | ||||||
\(247\) | 1.70479 | − | 1.70479i | 0.108473 | − | 0.108473i | ||||
\(248\) | −1.00473 | + | 5.47636i | −0.0638003 | + | 0.347749i | ||||
\(249\) | − | 6.20283i | − | 0.393088i | ||||||
\(250\) | 8.24158 | + | 7.55489i | 0.521244 | + | 0.477813i | ||||
\(251\) | −9.33268 | + | 5.38822i | −0.589073 | + | 0.340102i | −0.764731 | − | 0.644350i | \(-0.777128\pi\) |
0.175658 | + | 0.984451i | \(0.443795\pi\) | |||||||
\(252\) | −2.54992 | − | 2.54992i | −0.160630 | − | 0.160630i | ||||
\(253\) | 1.82977 | + | 6.82879i | 0.115037 | + | 0.429322i | ||||
\(254\) | −5.30628 | − | 9.19075i | −0.332946 | − | 0.576679i | ||||
\(255\) | −2.05379 | + | 3.67930i | −0.128613 | + | 0.230407i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −6.44611 | + | 1.72723i | −0.402097 | + | 0.107742i | −0.454199 | − | 0.890900i | \(-0.650075\pi\) |
0.0521019 | + | 0.998642i | \(0.483408\pi\) | |||||||
\(258\) | −1.95268 | − | 7.28750i | −0.121569 | − | 0.453700i | ||||
\(259\) | −14.1622 | + | 24.5297i | −0.879998 | + | 1.52420i | ||||
\(260\) | 0.447620 | + | 1.57873i | 0.0277602 | + | 0.0979085i | ||||
\(261\) | 4.30347 | + | 2.48461i | 0.266378 | + | 0.153793i | ||||
\(262\) | −3.68946 | + | 13.7692i | −0.227936 | + | 0.850667i | ||||
\(263\) | 14.4037 | + | 14.4037i | 0.888170 | + | 0.888170i | 0.994347 | − | 0.106177i | \(-0.0338611\pi\) |
−0.106177 | + | 0.994347i | \(0.533861\pi\) | |||||||
\(264\) | − | 1.08281i | − | 0.0666421i | ||||||
\(265\) | 3.05993 | − | 0.867587i | 0.187970 | − | 0.0532954i | ||||
\(266\) | 5.92362 | − | 10.2600i | 0.363200 | − | 0.629081i | ||||
\(267\) | 0.208897 | − | 0.779614i | 0.0127843 | − | 0.0477116i | ||||
\(268\) | 0.437811 | + | 1.63393i | 0.0267436 | + | 0.0998084i | ||||
\(269\) | 7.93542 | − | 13.7446i | 0.483831 | − | 0.838020i | −0.515996 | − | 0.856591i | \(-0.672578\pi\) |
0.999828 | + | 0.0185704i | \(0.00591150\pi\) | |||||||
\(270\) | 2.23583 | − | 0.0323803i | 0.136068 | − | 0.00197060i | ||||
\(271\) | 20.3988i | 1.23914i | 0.784941 | + | 0.619570i | \(0.212693\pi\) | ||||
−0.784941 | + | 0.619570i | \(0.787307\pi\) | |||||||
\(272\) | −1.82022 | − | 0.487725i | −0.110367 | − | 0.0295727i | ||||
\(273\) | 2.55622 | + | 0.684938i | 0.154710 | + | 0.0414543i | ||||
\(274\) | 4.61669 | − | 7.99634i | 0.278905 | − | 0.483077i | ||||
\(275\) | 4.76512 | + | 2.57010i | 0.287347 | + | 0.154983i | ||||
\(276\) | −3.26452 | − | 5.65431i | −0.196501 | − | 0.340349i | ||||
\(277\) | 20.1079 | − | 20.1079i | 1.20817 | − | 1.20817i | 0.236547 | − | 0.971620i | \(-0.423984\pi\) |
0.971620 | − | 0.236547i | \(-0.0760157\pi\) | |||||||
\(278\) | 3.73211 | + | 3.73211i | 0.223837 | + | 0.223837i | ||||
\(279\) | −5.54980 | + | 0.446894i | −0.332258 | + | 0.0267548i | ||||
\(280\) | 4.13249 | + | 6.92414i | 0.246963 | + | 0.413797i | ||||
\(281\) | −11.6433 | −0.694580 | −0.347290 | − | 0.937758i | \(-0.612898\pi\) | ||||
−0.347290 | + | 0.937758i | \(0.612898\pi\) | |||||||
\(282\) | 1.42734 | + | 0.382454i | 0.0849968 | + | 0.0227748i | ||||
\(283\) | −18.2747 | + | 18.2747i | −1.08632 | + | 1.08632i | −0.0904113 | + | 0.995905i | \(0.528818\pi\) |
−0.995905 | + | 0.0904113i | \(0.971182\pi\) | |||||||
\(284\) | −11.5576 | − | 6.67279i | −0.685818 | − | 0.395957i | ||||
\(285\) | 2.00388 | + | 7.06755i | 0.118699 | + | 0.418646i | ||||
\(286\) | 0.397314 | + | 0.688167i | 0.0234936 | + | 0.0406922i | ||||
\(287\) | 9.18183 | + | 9.18183i | 0.541986 | + | 0.541986i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | −11.6471 | − | 6.72447i | −0.685125 | − | 0.395557i | ||||
\(290\) | −7.96998 | − | 7.74242i | −0.468013 | − | 0.454651i | ||||
\(291\) | 6.74554 | − | 3.89454i | 0.395431 | − | 0.228302i | ||||
\(292\) | −3.86587 | − | 14.4276i | −0.226233 | − | 0.844312i | ||||
\(293\) | 2.37168 | + | 0.635490i | 0.138555 | + | 0.0371257i | 0.327430 | − | 0.944875i | \(-0.393817\pi\) |
−0.188875 | + | 0.982001i | \(0.560484\pi\) | |||||||
\(294\) | 6.00423 | 0.350174 | ||||||||
\(295\) | 12.6992 | − | 7.57915i | 0.739374 | − | 0.441275i | ||||
\(296\) | 6.80221 | − | 3.92726i | 0.395370 | − | 0.228267i | ||||
\(297\) | 1.04591 | − | 0.280251i | 0.0606899 | − | 0.0162618i | ||||
\(298\) | 14.2023 | + | 3.80549i | 0.822717 | + | 0.220446i | ||||
\(299\) | 4.14946 | + | 2.39569i | 0.239970 | + | 0.138547i | ||||
\(300\) | −4.86508 | − | 1.15369i | −0.280885 | − | 0.0666085i | ||||
\(301\) | 23.5618 | + | 13.6034i | 1.35808 | + | 0.784087i | ||||
\(302\) | 6.50912 | − | 6.50912i | 0.374558 | − | 0.374558i | ||||
\(303\) | −0.740857 | + | 2.76492i | −0.0425611 | + | 0.158840i | ||||
\(304\) | −2.84515 | + | 1.64265i | −0.163181 | + | 0.0942123i | ||||
\(305\) | −0.167483 | − | 11.5646i | −0.00959007 | − | 0.662187i | ||||
\(306\) | − | 1.88443i | − | 0.107725i | ||||||
\(307\) | 5.95729 | − | 22.2329i | 0.340000 | − | 1.26890i | −0.558345 | − | 0.829609i | \(-0.688564\pi\) |
0.898346 | − | 0.439290i | \(-0.144770\pi\) | |||||||
\(308\) | 2.76108 | + | 2.76108i | 0.157327 | + | 0.157327i | ||||
\(309\) | 8.54181 | 0.485927 | ||||||||
\(310\) | 12.2768 | + | 2.06908i | 0.697273 | + | 0.117516i | ||||
\(311\) | 6.75999 | 0.383324 | 0.191662 | − | 0.981461i | \(-0.438612\pi\) | ||||
0.191662 | + | 0.981461i | \(0.438612\pi\) | |||||||
\(312\) | −0.518917 | − | 0.518917i | −0.0293779 | − | 0.0293779i | ||||
\(313\) | −1.78297 | + | 6.65414i | −0.100780 | + | 0.376114i | −0.997832 | − | 0.0658093i | \(-0.979037\pi\) |
0.897053 | + | 0.441924i | \(0.145704\pi\) | |||||||
\(314\) | − | 20.9421i | − | 1.18183i | ||||||
\(315\) | −5.61864 | + | 5.78377i | −0.316574 | + | 0.325879i | ||||
\(316\) | −7.86753 | + | 4.54232i | −0.442583 | + | 0.255526i | ||||
\(317\) | −6.36393 | + | 23.7505i | −0.357434 | + | 1.33396i | 0.519959 | + | 0.854191i | \(0.325947\pi\) |
−0.877393 | + | 0.479772i | \(0.840720\pi\) | |||||||
\(318\) | −1.00578 | + | 1.00578i | −0.0564011 | + | 0.0564011i | ||||
\(319\) | −4.65983 | − | 2.69035i | −0.260900 | − | 0.150631i | ||||
\(320\) | −0.0323803 | − | 2.23583i | −0.00181011 | − | 0.124987i | ||||
\(321\) | 14.6119 | + | 8.43618i | 0.815556 | + | 0.470861i | ||||
\(322\) | 22.7423 | + | 6.09379i | 1.26738 | + | 0.339594i | ||||
\(323\) | 5.97995 | − | 1.60232i | 0.332733 | − | 0.0891556i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | 3.51528 | − | 1.05192i | 0.194993 | − | 0.0583502i | ||||
\(326\) | −15.8528 | −0.878007 | ||||||||
\(327\) | −10.7644 | − | 2.88432i | −0.595275 | − | 0.159503i | ||||
\(328\) | −0.931962 | − | 3.47813i | −0.0514590 | − | 0.192048i | ||||
\(329\) | −4.61484 | + | 2.66438i | −0.254424 | + | 0.146892i | ||||
\(330\) | −2.42098 | + | 0.0350616i | −0.133270 | + | 0.00193008i | ||||
\(331\) | −7.15518 | − | 4.13105i | −0.393285 | − | 0.227063i | 0.290298 | − | 0.956936i | \(-0.406246\pi\) |
−0.683582 | + | 0.729873i | \(0.739579\pi\) | |||||||
\(332\) | −1.60541 | − | 5.99147i | −0.0881083 | − | 0.328825i | ||||
\(333\) | 5.55398 | + | 5.55398i | 0.304356 | + | 0.304356i | ||||
\(334\) | −0.311464 | − | 0.539471i | −0.0170425 | − | 0.0295185i | ||||
\(335\) | 3.63903 | − | 1.03178i | 0.198821 | − | 0.0563722i | ||||
\(336\) | −3.12301 | − | 1.80307i | −0.170374 | − | 0.0983655i | ||||
\(337\) | −14.8092 | + | 14.8092i | −0.806708 | + | 0.806708i | −0.984134 | − | 0.177427i | \(-0.943223\pi\) |
0.177427 | + | 0.984134i | \(0.443223\pi\) | |||||||
\(338\) | −12.0368 | − | 3.22526i | −0.654718 | − | 0.175431i | ||||
\(339\) | 0.526506 | 0.0285959 | ||||||||
\(340\) | −1.03153 | + | 4.08549i | −0.0559427 | + | 0.221567i | ||||
\(341\) | 6.00936 | − | 0.483900i | 0.325425 | − | 0.0262046i | ||||
\(342\) | −2.32306 | − | 2.32306i | −0.125616 | − | 0.125616i | ||||
\(343\) | 2.53914 | − | 2.53914i | 0.137100 | − | 0.137100i | ||||
\(344\) | −3.77229 | − | 6.53380i | −0.203388 | − | 0.352279i | ||||
\(345\) | −12.5364 | + | 7.48200i | −0.674936 | + | 0.402817i | ||||
\(346\) | 10.1685 | − | 17.6123i | 0.546662 | − | 0.946846i | ||||
\(347\) | −23.2233 | − | 6.22265i | −1.24669 | − | 0.334050i | −0.425633 | − | 0.904896i | \(-0.639948\pi\) |
−0.821057 | + | 0.570846i | \(0.806615\pi\) | |||||||
\(348\) | 4.79990 | + | 1.28613i | 0.257301 | + | 0.0689437i | ||||
\(349\) | 7.55294i | 0.404300i | 0.979355 | + | 0.202150i | \(0.0647928\pi\) | ||||
−0.979355 | + | 0.202150i | \(0.935207\pi\) | |||||||
\(350\) | 15.3474 | − | 9.46376i | 0.820354 | − | 0.505859i | ||||
\(351\) | 0.366929 | − | 0.635540i | 0.0195852 | − | 0.0339226i | ||||
\(352\) | −0.280251 | − | 1.04591i | −0.0149374 | − | 0.0557472i | ||||
\(353\) | −5.03312 | + | 18.7839i | −0.267886 | + | 0.999765i | 0.692574 | + | 0.721347i | \(0.256477\pi\) |
−0.960460 | + | 0.278418i | \(0.910190\pi\) | |||||||
\(354\) | −3.30690 | + | 5.72773i | −0.175760 | + | 0.304425i | ||||
\(355\) | −14.5450 | + | 26.0570i | −0.771969 | + | 1.38296i | ||||
\(356\) | − | 0.807115i | − | 0.0427770i | ||||||
\(357\) | 4.80514 | + | 4.80514i | 0.254315 | + | 0.254315i | ||||
\(358\) | −2.49997 | + | 9.33002i | −0.132128 | + | 0.493107i | ||||
\(359\) | −29.0183 | − | 16.7537i | −1.53153 | − | 0.884228i | −0.999292 | − | 0.0376313i | \(-0.988019\pi\) |
−0.532236 | − | 0.846596i | \(-0.678648\pi\) | |||||||
\(360\) | 2.15127 | − | 0.609953i | 0.113382 | − | 0.0321474i | ||||
\(361\) | −4.10341 | + | 7.10732i | −0.215969 | + | 0.374070i | ||||
\(362\) | 1.00307 | + | 3.74350i | 0.0527201 | + | 0.196754i | ||||
\(363\) | 9.49266 | − | 2.54355i | 0.498236 | − | 0.133502i | ||||
\(364\) | 2.64640 | 0.138709 | ||||||||
\(365\) | −32.1326 | + | 9.11061i | −1.68190 | + | 0.476871i | ||||
\(366\) | 2.58619 | + | 4.47942i | 0.135183 | + | 0.234143i | ||||
\(367\) | 7.36697 | + | 27.4939i | 0.384553 | + | 1.43517i | 0.838871 | + | 0.544331i | \(0.183216\pi\) |
−0.454318 | + | 0.890840i | \(0.650117\pi\) | |||||||
\(368\) | −4.61672 | − | 4.61672i | −0.240663 | − | 0.240663i | ||||
\(369\) | 3.11840 | − | 1.80041i | 0.162338 | − | 0.0937257i | ||||
\(370\) | −9.00095 | − | 15.0814i | −0.467937 | − | 0.784047i | ||||
\(371\) | − | 5.12931i | − | 0.266300i | ||||||
\(372\) | −5.24503 | + | 1.86806i | −0.271942 | + | 0.0968544i | ||||
\(373\) | 11.3063 | − | 11.3063i | 0.585416 | − | 0.585416i | −0.350970 | − | 0.936387i | \(-0.614148\pi\) |
0.936387 | + | 0.350970i | \(0.114148\pi\) | |||||||
\(374\) | 2.04047i | 0.105510i | ||||||||
\(375\) | −2.42193 | + | 10.9149i | −0.125068 | + | 0.563641i | ||||
\(376\) | 1.47769 | 0.0762060 | ||||||||
\(377\) | −3.52245 | + | 0.943837i | −0.181415 | + | 0.0486101i | ||||
\(378\) | 0.933337 | − | 3.48326i | 0.0480057 | − | 0.179160i | ||||
\(379\) | 29.5024 | − | 17.0332i | 1.51544 | − | 0.874939i | 0.515602 | − | 0.856828i | \(-0.327568\pi\) |
0.999836 | − | 0.0181107i | \(-0.00576514\pi\) | |||||||
\(380\) | 3.76481 | + | 6.30809i | 0.193131 | + | 0.323598i | ||||
\(381\) | 5.30628 | − | 9.19075i | 0.271849 | − | 0.470856i | ||||
\(382\) | 2.69365 | − | 0.721761i | 0.137819 | − | 0.0369285i | ||||
\(383\) | −18.9269 | + | 5.07144i | −0.967119 | + | 0.259139i | −0.707611 | − | 0.706602i | \(-0.750227\pi\) |
−0.259508 | + | 0.965741i | \(0.583560\pi\) | |||||||
\(384\) | 0.500000 | + | 0.866025i | 0.0255155 | + | 0.0441942i | ||||
\(385\) | 6.08390 | − | 6.26271i | 0.310064 | − | 0.319177i | ||||
\(386\) | −11.1832 | − | 19.3699i | −0.569209 | − | 0.985900i | ||||
\(387\) | 5.33482 | − | 5.33482i | 0.271184 | − | 0.271184i | ||||
\(388\) | 5.50771 | − | 5.50771i | 0.279612 | − | 0.279612i | ||||
\(389\) | 18.1222 | + | 31.3887i | 0.918834 | + | 1.59147i | 0.801188 | + | 0.598412i | \(0.204202\pi\) |
0.117646 | + | 0.993056i | \(0.462465\pi\) | |||||||
\(390\) | −1.14341 | + | 1.17701i | −0.0578987 | + | 0.0596004i | ||||
\(391\) | 6.15174 | + | 10.6551i | 0.311107 | + | 0.538853i | ||||
\(392\) | 5.79964 | − | 1.55401i | 0.292926 | − | 0.0784893i | ||||
\(393\) | −13.7692 | + | 3.68946i | −0.694567 | + | 0.186109i | ||||
\(394\) | −4.70012 | + | 8.14085i | −0.236789 | + | 0.410130i | ||||
\(395\) | 10.4106 | + | 17.4434i | 0.523815 | + | 0.877673i | ||||
\(396\) | 0.937738 | − | 0.541403i | 0.0471231 | − | 0.0272065i | ||||
\(397\) | −4.39783 | + | 16.4129i | −0.220721 | + | 0.823742i | 0.763353 | + | 0.645982i | \(0.223552\pi\) |
−0.984074 | + | 0.177760i | \(0.943115\pi\) | |||||||
\(398\) | −14.0048 | + | 3.75257i | −0.701997 | + | 0.188099i | ||||
\(399\) | 11.8472 | 0.593103 | ||||||||
\(400\) | −4.99790 | + | 0.144794i | −0.249895 | + | 0.00723969i | ||||
\(401\) | 3.37021i | 0.168300i | 0.996453 | + | 0.0841501i | \(0.0268175\pi\) | ||||
−0.996453 | + | 0.0841501i | \(0.973182\pi\) | |||||||
\(402\) | −1.19612 | + | 1.19612i | −0.0596572 | + | 0.0596572i | ||||
\(403\) | 2.64798 | − | 3.11178i | 0.131905 | − | 0.155009i | ||||
\(404\) | 2.86245i | 0.142412i | ||||||||
\(405\) | 1.14596 | + | 1.92010i | 0.0569432 | + | 0.0954105i | ||||
\(406\) | −15.5189 | + | 8.95984i | −0.770190 | + | 0.444670i | ||||
\(407\) | −6.01389 | − | 6.01389i | −0.298097 | − | 0.298097i | ||||
\(408\) | −0.487725 | − | 1.82022i | −0.0241460 | − | 0.0901141i | ||||
\(409\) | −6.32831 | − | 10.9610i | −0.312915 | − | 0.541984i | 0.666077 | − | 0.745883i | \(-0.267972\pi\) |
−0.978992 | + | 0.203898i | \(0.934639\pi\) | |||||||
\(410\) | −7.74634 | + | 2.19633i | −0.382564 | + | 0.108469i | ||||
\(411\) | 9.23338 | 0.455449 | ||||||||
\(412\) | 8.25075 | − | 2.21078i | 0.406485 | − | 0.108917i | ||||
\(413\) | −6.17291 | − | 23.0376i | −0.303749 | − | 1.13361i | ||||
\(414\) | 3.26452 | − | 5.65431i | 0.160442 | − | 0.277894i | ||||
\(415\) | −13.3439 | + | 3.78343i | −0.655029 | + | 0.185722i | ||||
\(416\) | −0.635540 | − | 0.366929i | −0.0311599 | − | 0.0179902i | ||||
\(417\) | −1.36605 | + | 5.09816i | −0.0668957 | + | 0.249658i | ||||
\(418\) | 2.51542 | + | 2.51542i | 0.123033 | + | 0.123033i | ||||
\(419\) | − | 22.6177i | − | 1.10495i | −0.833531 | − | 0.552473i | \(-0.813684\pi\) | ||
0.833531 | − | 0.552473i | \(-0.186316\pi\) | |||||||
\(420\) | −3.93024 | + | 7.04091i | −0.191776 | + | 0.343561i | ||||
\(421\) | 8.36632 | − | 14.4909i | 0.407749 | − | 0.706243i | −0.586888 | − | 0.809668i | \(-0.699647\pi\) |
0.994637 | + | 0.103426i | \(0.0329804\pi\) | |||||||
\(422\) | −0.424723 | + | 1.58509i | −0.0206752 | + | 0.0771609i | ||||
\(423\) | 0.382454 | + | 1.42734i | 0.0185956 | + | 0.0693996i | ||||
\(424\) | −0.711191 | + | 1.23182i | −0.0345385 | + | 0.0598224i | ||||
\(425\) | 9.16788 | + | 2.17405i | 0.444707 | + | 0.105457i | ||||
\(426\) | − | 13.3456i | − | 0.646595i | ||||||
\(427\) | −18.0168 | − | 4.82758i | −0.871893 | − | 0.233623i | ||||
\(428\) | 16.2974 | + | 4.36689i | 0.787767 | + | 0.211081i | ||||
\(429\) | −0.397314 | + | 0.688167i | −0.0191825 | + | 0.0332250i | ||||
\(430\) | −14.4863 | + | 8.64578i | −0.698593 | + | 0.416936i | ||||
\(431\) | 6.50212 | + | 11.2620i | 0.313196 | + | 0.542471i | 0.979052 | − | 0.203609i | \(-0.0652670\pi\) |
−0.665856 | + | 0.746080i | \(0.731934\pi\) | |||||||
\(432\) | −0.707107 | + | 0.707107i | −0.0340207 | + | 0.0340207i | ||||
\(433\) | −0.147669 | − | 0.147669i | −0.00709650 | − | 0.00709650i | 0.703550 | − | 0.710646i | \(-0.251597\pi\) |
−0.710646 | + | 0.703550i | \(0.751597\pi\) | |||||||
\(434\) | 8.61102 | − | 18.1378i | 0.413342 | − | 0.870645i | ||||
\(435\) | 2.72015 | − | 10.7734i | 0.130421 | − | 0.516546i | ||||
\(436\) | −11.1442 | −0.533709 | ||||||||
\(437\) | 20.7189 | + | 5.55162i | 0.991120 | + | 0.265570i | ||||
\(438\) | 10.5617 | − | 10.5617i | 0.504660 | − | 0.504660i | ||||
\(439\) | −11.6906 | − | 6.74956i | −0.557961 | − | 0.322139i | 0.194365 | − | 0.980929i | \(-0.437735\pi\) |
−0.752327 | + | 0.658790i | \(0.771069\pi\) | |||||||
\(440\) | −2.32941 | + | 0.660461i | −0.111050 | + | 0.0314863i | ||||
\(441\) | 3.00212 | + | 5.19982i | 0.142958 | + | 0.247610i | ||||
\(442\) | 0.977859 | + | 0.977859i | 0.0465120 | + | 0.0465120i | ||||
\(443\) | −3.55083 | − | 13.2519i | −0.168705 | − | 0.629616i | −0.997539 | − | 0.0701206i | \(-0.977662\pi\) |
0.828833 | − | 0.559496i | \(-0.189005\pi\) | |||||||
\(444\) | 6.80221 | + | 3.92726i | 0.322818 | + | 0.186379i | ||||
\(445\) | −1.80458 | + | 0.0261346i | −0.0855451 | + | 0.00123890i | ||||
\(446\) | 13.7709 | − | 7.95064i | 0.652072 | − | 0.376474i | ||||
\(447\) | 3.80549 | + | 14.2023i | 0.179994 | + | 0.671745i | ||||
\(448\) | −3.48326 | − | 0.933337i | −0.164569 | − | 0.0440960i | ||||
\(449\) | −20.4774 | −0.966386 | −0.483193 | − | 0.875514i | \(-0.660523\pi\) | ||||
−0.483193 | + | 0.875514i | \(0.660523\pi\) | |||||||
\(450\) | −1.43341 | − | 4.79013i | −0.0675717 | − | 0.225809i | ||||
\(451\) | −3.37663 | + | 1.94950i | −0.158999 | + | 0.0917983i | ||||
\(452\) | 0.508565 | − | 0.136270i | 0.0239209 | − | 0.00640959i | ||||
\(453\) | 8.89162 | + | 2.38250i | 0.417765 | + | 0.111940i | ||||
\(454\) | 13.9339 | + | 8.04474i | 0.653950 | + | 0.377558i | ||||
\(455\) | −0.0856911 | − | 5.91690i | −0.00401726 | − | 0.277389i | ||||
\(456\) | −2.84515 | − | 1.64265i | −0.133236 | − | 0.0769240i | ||||
\(457\) | −11.1555 | + | 11.1555i | −0.521833 | + | 0.521833i | −0.918125 | − | 0.396292i | \(-0.870297\pi\) |
0.396292 | + | 0.918125i | \(0.370297\pi\) | |||||||
\(458\) | −3.09081 | + | 11.5350i | −0.144424 | + | 0.538997i | ||||
\(459\) | 1.63196 | − | 0.942213i | 0.0761734 | − | 0.0439787i | ||||
\(460\) | −10.1727 | + | 10.4717i | −0.474306 | + | 0.488246i | ||||
\(461\) | − | 22.4461i | − | 1.04542i | −0.852510 | − | 0.522710i | \(-0.824921\pi\) | ||
0.852510 | − | 0.522710i | \(-0.175079\pi\) | |||||||
\(462\) | −1.01062 | + | 3.77170i | −0.0470185 | + | 0.175475i | ||||
\(463\) | 25.0386 | + | 25.0386i | 1.16364 | + | 1.16364i | 0.983672 | + | 0.179970i | \(0.0576002\pi\) |
0.179970 | + | 0.983672i | \(0.442400\pi\) | |||||||
\(464\) | 4.96922 | 0.230690 | ||||||||
\(465\) | 4.34651 | + | 11.6665i | 0.201564 | + | 0.541022i | ||||
\(466\) | −7.48369 | −0.346675 | ||||||||
\(467\) | 15.3575 | + | 15.3575i | 0.710659 | + | 0.710659i | 0.966673 | − | 0.256014i | \(-0.0824093\pi\) |
−0.256014 | + | 0.966673i | \(0.582409\pi\) | |||||||
\(468\) | 0.189937 | − | 0.708853i | 0.00877982 | − | 0.0327667i | ||||
\(469\) | − | 6.10005i | − | 0.281674i | ||||||
\(470\) | −0.0478480 | − | 3.30387i | −0.00220706 | − | 0.152396i | ||||
\(471\) | 18.1364 | − | 10.4710i | 0.835680 | − | 0.482480i | ||||
\(472\) | −1.71178 | + | 6.38845i | −0.0787910 | + | 0.294052i | ||||
\(473\) | −5.77658 | + | 5.77658i | −0.265608 | + | 0.265608i | ||||
\(474\) | −7.86753 | − | 4.54232i | −0.361368 | − | 0.208636i | ||||
\(475\) | 13.9819 | − | 8.62176i | 0.641535 | − | 0.395593i | ||||
\(476\) | 5.88507 | + | 3.39775i | 0.269742 | + | 0.155736i | ||||
\(477\) | −1.37392 | − | 0.368140i | −0.0629073 | − | 0.0168560i | ||||
\(478\) | 21.9022 | − | 5.86868i | 1.00178 | − | 0.268427i | ||||
\(479\) | −16.0867 | + | 9.28763i | −0.735018 | + | 0.424363i | −0.820255 | − | 0.571998i | \(-0.806169\pi\) |
0.0852371 | + | 0.996361i | \(0.472835\pi\) | |||||||
\(480\) | 1.92010 | − | 1.14596i | 0.0876401 | − | 0.0523056i | ||||
\(481\) | −5.76410 | −0.262820 | ||||||||
\(482\) | −3.66055 | − | 0.980841i | −0.166733 | − | 0.0446761i | ||||
\(483\) | 6.09379 | + | 22.7423i | 0.277277 | + | 1.03481i | ||||
\(484\) | 8.51089 | − | 4.91376i | 0.386859 | − | 0.223353i | ||||
\(485\) | −12.4927 | − | 12.1360i | −0.567263 | − | 0.551067i | ||||
\(486\) | −0.866025 | − | 0.500000i | −0.0392837 | − | 0.0226805i | ||||
\(487\) | −5.04721 | − | 18.8364i | −0.228711 | − | 0.853560i | −0.980884 | − | 0.194595i | \(-0.937661\pi\) |
0.752173 | − | 0.658966i | \(-0.229006\pi\) | |||||||
\(488\) | 3.65743 | + | 3.65743i | 0.165564 | + | 0.165564i | ||||
\(489\) | −7.92642 | − | 13.7290i | −0.358445 | − | 0.620845i | ||||
\(490\) | −3.66230 | − | 12.9167i | −0.165446 | − | 0.583518i | ||||
\(491\) | 9.53654 | + | 5.50592i | 0.430378 | + | 0.248479i | 0.699508 | − | 0.714625i | \(-0.253403\pi\) |
−0.269130 | + | 0.963104i | \(0.586736\pi\) | |||||||
\(492\) | 2.54617 | − | 2.54617i | 0.114790 | − | 0.114790i | ||||
\(493\) | −9.04505 | − | 2.42361i | −0.407368 | − | 0.109154i | ||||
\(494\) | 2.41094 | 0.108473 | ||||||||
\(495\) | −1.24085 | − | 2.07910i | −0.0557722 | − | 0.0934484i | ||||
\(496\) | −4.58282 | + | 3.16192i | −0.205775 | + | 0.141974i | ||||
\(497\) | 34.0302 | + | 34.0302i | 1.52646 | + | 1.52646i | ||||
\(498\) | 4.38606 | − | 4.38606i | 0.196544 | − | 0.196544i | ||||
\(499\) | 7.13058 | + | 12.3505i | 0.319209 | + | 0.552886i | 0.980323 | − | 0.197399i | \(-0.0632496\pi\) |
−0.661114 | + | 0.750285i | \(0.729916\pi\) | |||||||
\(500\) | 0.485568 | + | 11.1698i | 0.0217153 | + | 0.499528i | ||||
\(501\) | 0.311464 | − | 0.539471i | 0.0139152 | − | 0.0241018i | ||||
\(502\) | −10.4092 | − | 2.78915i | −0.464587 | − | 0.124486i | ||||
\(503\) | 0.564475 | + | 0.151251i | 0.0251687 | + | 0.00674393i | 0.271381 | − | 0.962472i | \(-0.412520\pi\) |
−0.246213 | + | 0.969216i | \(0.579186\pi\) | |||||||
\(504\) | − | 3.60614i | − | 0.160630i | ||||||
\(505\) | 6.39997 | − | 0.0926870i | 0.284795 | − | 0.00412452i | ||||
\(506\) | −3.53484 | + | 6.12252i | −0.157143 | + | 0.272179i | ||||
\(507\) | −3.22526 | − | 12.0368i | −0.143239 | − | 0.534575i | ||||
\(508\) | 2.74673 | − | 10.2509i | 0.121867 | − | 0.454812i | ||||
\(509\) | −2.74514 | + | 4.75473i | −0.121676 | + | 0.210750i | −0.920429 | − | 0.390910i | \(-0.872160\pi\) |
0.798753 | + | 0.601660i | \(0.205494\pi\) | |||||||
\(510\) | −4.05391 | + | 1.14941i | −0.179510 | + | 0.0508968i | ||||
\(511\) | 53.8633i | 2.38277i | ||||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.850297 | − | 3.17335i | 0.0375415 | − | 0.140107i | ||||
\(514\) | −5.77943 | − | 3.33675i | −0.254920 | − | 0.147178i | ||||
\(515\) | −5.21010 | − | 18.3757i | −0.229585 | − | 0.809731i | ||||
\(516\) | 3.77229 | − | 6.53380i | 0.166066 | − | 0.287634i | ||||
\(517\) | −0.414124 | − | 1.54553i | −0.0182132 | − | 0.0679724i | ||||
\(518\) | −27.3593 | + | 7.33091i | −1.20210 | + | 0.322102i | ||||
\(519\) | 20.3370 | 0.892695 | ||||||||
\(520\) | −0.799814 | + | 1.43284i | −0.0350742 | + | 0.0628344i | ||||
\(521\) | 11.7032 | + | 20.2706i | 0.512728 | + | 0.888070i | 0.999891 | + | 0.0147596i | \(0.00469829\pi\) |
−0.487163 | + | 0.873311i | \(0.661968\pi\) | |||||||
\(522\) | 1.28613 | + | 4.79990i | 0.0562923 | + | 0.210086i | ||||
\(523\) | −4.83952 | − | 4.83952i | −0.211617 | − | 0.211617i | 0.593337 | − | 0.804954i | \(-0.297810\pi\) |
−0.804954 | + | 0.593337i | \(0.797810\pi\) | |||||||
\(524\) | −12.3452 | + | 7.12749i | −0.539301 | + | 0.311366i | ||||
\(525\) | 15.8696 | + | 8.55937i | 0.692604 | + | 0.373562i | ||||
\(526\) | 20.3699i | 0.888170i | ||||||||
\(527\) | 9.88387 | − | 3.52022i | 0.430548 | − | 0.153343i | ||||
\(528\) | 0.765660 | − | 0.765660i | 0.0333211 | − | 0.0333211i | ||||
\(529\) | 19.6283i | 0.853402i | ||||||||
\(530\) | 2.77717 | + | 1.55022i | 0.120633 | + | 0.0673372i | ||||
\(531\) | −6.61381 | −0.287015 | ||||||||
\(532\) | 11.4435 | − | 3.06629i | 0.496141 | − | 0.132940i | ||||
\(533\) | −0.683928 | + | 2.55246i | −0.0296242 | + | 0.110559i | ||||
\(534\) | 0.698982 | − | 0.403558i | 0.0302479 | − | 0.0174636i | ||||
\(535\) | 9.23592 | − | 36.5798i | 0.399303 | − | 1.58148i | ||||
\(536\) | −0.845786 | + | 1.46495i | −0.0365324 | + | 0.0632760i | ||||
\(537\) | −9.33002 | + | 2.49997i | −0.402620 | + | 0.107882i | ||||
\(538\) | 15.3301 | − | 4.10768i | 0.660926 | − | 0.177095i | ||||
\(539\) | −3.25071 | − | 5.63040i | −0.140018 | − | 0.242518i | ||||
\(540\) | 1.60387 | + | 1.55808i | 0.0690195 | + | 0.0670489i | ||||
\(541\) | −8.18815 | − | 14.1823i | −0.352036 | − | 0.609745i | 0.634570 | − | 0.772866i | \(-0.281177\pi\) |
−0.986606 | + | 0.163121i | \(0.947844\pi\) | |||||||
\(542\) | −14.4241 | + | 14.4241i | −0.619570 | + | 0.619570i | ||||
\(543\) | −2.74043 | + | 2.74043i | −0.117603 | + | 0.117603i | ||||
\(544\) | −0.942213 | − | 1.63196i | −0.0403970 | − | 0.0699697i | ||||
\(545\) | 0.360851 | + | 24.9165i | 0.0154572 | + | 1.06731i | ||||
\(546\) | 1.32320 | + | 2.29185i | 0.0566276 | + | 0.0980820i | ||||
\(547\) | 0.898109 | − | 0.240648i | 0.0384004 | − | 0.0102893i | −0.239568 | − | 0.970880i | \(-0.577006\pi\) |
0.277968 | + | 0.960590i | \(0.410339\pi\) | |||||||
\(548\) | 8.91876 | − | 2.38978i | 0.380991 | − | 0.102086i | ||||
\(549\) | −2.58619 | + | 4.47942i | −0.110376 | + | 0.191177i | ||||
\(550\) | 1.55211 | + | 5.18678i | 0.0661821 | + | 0.221165i | ||||
\(551\) | −14.1382 | + | 8.16268i | −0.602306 | + | 0.347742i | ||||
\(552\) | 1.68984 | − | 6.30656i | 0.0719243 | − | 0.268425i | ||||
\(553\) | 31.6442 | − | 8.47903i | 1.34565 | − | 0.360565i | ||||
\(554\) | 28.4369 | 1.20817 | ||||||||
\(555\) | 8.56043 | − | 15.3358i | 0.363370 | − | 0.650967i | ||||
\(556\) | 5.27800i | 0.223837i | ||||||||
\(557\) | −22.1816 | + | 22.1816i | −0.939866 | + | 0.939866i | −0.998292 | − | 0.0584254i | \(-0.981392\pi\) |
0.0584254 | + | 0.998292i | \(0.481392\pi\) | |||||||
\(558\) | −4.24030 | − | 3.60830i | −0.179506 | − | 0.152752i | ||||
\(559\) | 5.53666i | 0.234176i | ||||||||
\(560\) | −1.97400 | + | 7.81822i | −0.0834166 | + | 0.330380i | ||||
\(561\) | −1.76710 | + | 1.02023i | −0.0746069 | + | 0.0430743i | ||||
\(562\) | −8.23304 | − | 8.23304i | −0.347290 | − | 0.347290i | ||||
\(563\) | −7.16118 | − | 26.7259i | −0.301808 | − | 1.12636i | −0.935659 | − | 0.352907i | \(-0.885193\pi\) |
0.633851 | − | 0.773455i | \(-0.281473\pi\) | |||||||
\(564\) | 0.738845 | + | 1.27972i | 0.0311110 | + | 0.0538858i | ||||
\(565\) | −0.321144 | − | 1.13266i | −0.0135106 | − | 0.0476512i | ||||
\(566\) | −25.8443 | −1.08632 | ||||||||
\(567\) | 3.48326 | − | 0.933337i | 0.146283 | − | 0.0391965i | ||||
\(568\) | −3.45409 | − | 12.8908i | −0.144930 | − | 0.540887i | ||||
\(569\) | −1.72914 | + | 2.99495i | −0.0724892 | + | 0.125555i | −0.899992 | − | 0.435907i | \(-0.856428\pi\) |
0.827502 | + | 0.561462i | \(0.189761\pi\) | |||||||
\(570\) | −3.58056 | + | 6.41447i | −0.149973 | + | 0.268673i | ||||
\(571\) | −27.7131 | − | 16.0002i | −1.15976 | − | 0.669586i | −0.208511 | − | 0.978020i | \(-0.566862\pi\) |
−0.951246 | + | 0.308434i | \(0.900195\pi\) | |||||||
\(572\) | −0.205665 | + | 0.767551i | −0.00859927 | + | 0.0320929i | ||||
\(573\) | 1.97189 | + | 1.97189i | 0.0823768 | + | 0.0823768i | ||||
\(574\) | 12.9851i | 0.541986i | ||||||||
\(575\) | 23.7424 | + | 22.4055i | 0.990127 | + | 0.934372i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 2.57916 | − | 9.62555i | 0.107372 | − | 0.400717i | −0.891232 | − | 0.453548i | \(-0.850158\pi\) |
0.998603 | + | 0.0528315i | \(0.0168246\pi\) | |||||||
\(578\) | −3.48084 | − | 12.9907i | −0.144784 | − | 0.540341i | ||||
\(579\) | 11.1832 | − | 19.3699i | 0.464758 | − | 0.804984i | ||||
\(580\) | −0.160905 | − | 11.1103i | −0.00668120 | − | 0.461332i | ||||
\(581\) | 22.3683i | 0.927991i | ||||||||
\(582\) | 7.52368 | + | 2.01596i | 0.311866 | + | 0.0835644i | ||||
\(583\) | 1.48769 | + | 0.398624i | 0.0616136 | + | 0.0165093i | ||||
\(584\) | 7.46828 | − | 12.9354i | 0.309040 | − | 0.535273i | ||||
\(585\) | −1.59103 | − | 0.401714i | −0.0657809 | − | 0.0166088i | ||||
\(586\) | 1.22767 | + | 2.12639i | 0.0507147 | + | 0.0878404i | ||||
\(587\) | −3.76443 | + | 3.76443i | −0.155375 | + | 0.155375i | −0.780514 | − | 0.625139i | \(-0.785042\pi\) |
0.625139 | + | 0.780514i | \(0.285042\pi\) | |||||||
\(588\) | 4.24563 | + | 4.24563i | 0.175087 | + | 0.175087i | ||||
\(589\) | 7.84489 | − | 16.5241i | 0.323243 | − | 0.680864i | ||||
\(590\) | 14.3389 | + | 3.62039i | 0.590325 | + | 0.149049i | ||||
\(591\) | −9.40024 | −0.386674 | ||||||||
\(592\) | 7.58688 | + | 2.03290i | 0.311819 | + | 0.0835516i | ||||
\(593\) | −27.6862 | + | 27.6862i | −1.13694 | + | 1.13694i | −0.147942 | + | 0.988996i | \(0.547265\pi\) |
−0.988996 | + | 0.147942i | \(0.952735\pi\) | |||||||
\(594\) | 0.937738 | + | 0.541403i | 0.0384759 | + | 0.0222140i | ||||
\(595\) | 7.40624 | − | 13.2681i | 0.303626 | − | 0.543938i | ||||
\(596\) | 7.35165 | + | 12.7334i | 0.301135 | + | 0.521581i | ||||
\(597\) | −10.2522 | − | 10.2522i | −0.419595 | − | 0.419595i | ||||
\(598\) | 1.24010 | + | 4.62812i | 0.0507116 | + | 0.189258i | ||||
\(599\) | 13.3157 | + | 7.68785i | 0.544066 | + | 0.314117i | 0.746725 | − | 0.665132i | \(-0.231625\pi\) |
−0.202659 | + | 0.979249i | \(0.564958\pi\) | |||||||
\(600\) | −2.62435 | − | 4.25591i | −0.107139 | − | 0.173747i | ||||
\(601\) | 27.2724 | − | 15.7457i | 1.11247 | − | 0.642282i | 0.172998 | − | 0.984922i | \(-0.444654\pi\) |
0.939467 | + | 0.342640i | \(0.111321\pi\) | |||||||
\(602\) | 7.04164 | + | 26.2797i | 0.286996 | + | 1.07108i | ||||
\(603\) | −1.63393 | − | 0.437811i | −0.0665389 | − | 0.0178291i | ||||
\(604\) | 9.20528 | 0.374558 | ||||||||
\(605\) | −11.2619 | − | 18.8698i | −0.457863 | − | 0.767167i | ||||
\(606\) | −2.47896 | + | 1.43123i | −0.100701 | + | 0.0581396i | ||||
\(607\) | −19.6407 | + | 5.26271i | −0.797192 | + | 0.213607i | −0.634351 | − | 0.773045i | \(-0.718733\pi\) |
−0.162841 | + | 0.986652i | \(0.552066\pi\) | |||||||
\(608\) | −3.17335 | − | 0.850297i | −0.128696 | − | 0.0344841i | ||||
\(609\) | −15.5189 | − | 8.95984i | −0.628858 | − | 0.363071i | ||||
\(610\) | 8.05898 | − | 8.29583i | 0.326298 | − | 0.335888i | ||||
\(611\) | −0.939131 | − | 0.542208i | −0.0379932 | − | 0.0219354i | ||||
\(612\) | 1.33249 | − | 1.33249i | 0.0538627 | − | 0.0538627i | ||||
\(613\) | −7.51401 | + | 28.0427i | −0.303488 | + | 1.13263i | 0.630751 | + | 0.775985i | \(0.282747\pi\) |
−0.934239 | + | 0.356647i | \(0.883920\pi\) | |||||||
\(614\) | 19.9335 | − | 11.5086i | 0.804449 | − | 0.464449i | ||||
\(615\) | −5.77525 | − | 5.61036i | −0.232881 | − | 0.226232i | ||||
\(616\) | 3.90475i | 0.157327i | ||||||||
\(617\) | −5.30797 | + | 19.8096i | −0.213691 | + | 0.797505i | 0.772933 | + | 0.634488i | \(0.218789\pi\) |
−0.986623 | + | 0.163016i | \(0.947878\pi\) | |||||||
\(618\) | 6.03997 | + | 6.03997i | 0.242963 | + | 0.242963i | ||||
\(619\) | 41.6245 | 1.67303 | 0.836514 | − | 0.547945i | \(-0.184590\pi\) | ||||
0.836514 | + | 0.547945i | \(0.184590\pi\) | |||||||
\(620\) | 7.21792 | + | 10.1440i | 0.289879 | + | 0.407395i | ||||
\(621\) | 6.52903 | 0.262001 | ||||||||
\(622\) | 4.78004 | + | 4.78004i | 0.191662 | + | 0.191662i | ||||
\(623\) | −0.753311 | + | 2.81139i | −0.0301808 | + | 0.112636i | ||||
\(624\) | − | 0.733859i | − | 0.0293779i | ||||||
\(625\) | 24.9581 | − | 1.44733i | 0.998323 | − | 0.0578933i | ||||
\(626\) | −5.96594 | + | 3.44444i | −0.238447 | + | 0.137667i | ||||
\(627\) | −0.920708 | + | 3.43613i | −0.0367695 | + | 0.137226i | ||||
\(628\) | 14.8083 | − | 14.8083i | 0.590915 | − | 0.590915i | ||||
\(629\) | −12.8183 | − | 7.40062i | −0.511097 | − | 0.295082i | ||||
\(630\) | −8.06272 | + | 0.116768i | −0.321227 | + | 0.00465214i | ||||
\(631\) | −0.123258 | − | 0.0711630i | −0.00490682 | − | 0.00283295i | 0.497545 | − | 0.867438i | \(-0.334235\pi\) |
−0.502451 | + | 0.864605i | \(0.667568\pi\) | |||||||
\(632\) | −8.77509 | − | 2.35128i | −0.349054 | − | 0.0935288i | ||||
\(633\) | −1.58509 | + | 0.424723i | −0.0630016 | + | 0.0168812i | ||||
\(634\) | −21.2941 | + | 12.2942i | −0.845698 | + | 0.488264i | ||||
\(635\) | −23.0084 | − | 5.80931i | −0.913059 | − | 0.230535i | ||||
\(636\) | −1.42238 | −0.0564011 | ||||||||
\(637\) | −4.25612 | − | 1.14042i | −0.168634 | − | 0.0451852i | ||||
\(638\) | −1.39263 | − | 5.19736i | −0.0551347 | − | 0.205765i | ||||
\(639\) | 11.5576 | − | 6.67279i | 0.457212 | − | 0.263971i | ||||
\(640\) | 1.55808 | − | 1.60387i | 0.0615884 | − | 0.0633985i | ||||
\(641\) | 3.97989 | + | 2.29779i | 0.157196 | + | 0.0907572i | 0.576535 | − | 0.817073i | \(-0.304405\pi\) |
−0.419338 | + | 0.907830i | \(0.637738\pi\) | |||||||
\(642\) | 4.36689 | + | 16.2974i | 0.172347 | + | 0.643209i | ||||
\(643\) | 5.92077 | + | 5.92077i | 0.233492 | + | 0.233492i | 0.814149 | − | 0.580656i | \(-0.197204\pi\) |
−0.580656 | + | 0.814149i | \(0.697204\pi\) | |||||||
\(644\) | 11.7723 | + | 20.3902i | 0.463893 | + | 0.803487i | ||||
\(645\) | −14.7306 | − | 8.22265i | −0.580018 | − | 0.323766i | ||||
\(646\) | 5.36147 | + | 3.09545i | 0.210944 | + | 0.121789i | ||||
\(647\) | 21.9431 | − | 21.9431i | 0.862673 | − | 0.862673i | −0.128974 | − | 0.991648i | \(-0.541169\pi\) |
0.991648 | + | 0.128974i | \(0.0411685\pi\) | |||||||
\(648\) | −0.965926 | − | 0.258819i | −0.0379452 | − | 0.0101674i | ||||
\(649\) | 7.16148 | 0.281113 | ||||||||
\(650\) | 3.22950 | + | 1.74186i | 0.126671 | + | 0.0683212i | ||||
\(651\) | 20.0133 | − | 1.61156i | 0.784385 | − | 0.0631620i | ||||
\(652\) | −11.2096 | − | 11.2096i | −0.439004 | − | 0.439004i | ||||
\(653\) | −35.5543 | + | 35.5543i | −1.39135 | + | 1.39135i | −0.569027 | + | 0.822319i | \(0.692680\pi\) |
−0.822319 | + | 0.569027i | \(0.807320\pi\) | |||||||
\(654\) | −5.57209 | − | 9.65114i | −0.217886 | − | 0.377389i | ||||
\(655\) | 16.3356 | + | 27.3710i | 0.638285 | + | 1.06947i | ||||
\(656\) | 1.80041 | − | 3.11840i | 0.0702943 | − | 0.121753i | ||||
\(657\) | 14.4276 | + | 3.86587i | 0.562875 | + | 0.150822i | ||||
\(658\) | −5.14718 | − | 1.37918i | −0.200658 | − | 0.0537661i | ||||
\(659\) | 35.3789i | 1.37817i | 0.724682 | + | 0.689083i | \(0.241987\pi\) | ||||
−0.724682 | + | 0.689083i | \(0.758013\pi\) | |||||||
\(660\) | −1.73668 | − | 1.68710i | −0.0676002 | − | 0.0656701i | ||||
\(661\) | −15.1561 | + | 26.2511i | −0.589503 | + | 1.02105i | 0.404795 | + | 0.914408i | \(0.367343\pi\) |
−0.994298 | + | 0.106641i | \(0.965990\pi\) | |||||||
\(662\) | −2.13839 | − | 7.98057i | −0.0831108 | − | 0.310174i | ||||
\(663\) | −0.357921 | + | 1.33578i | −0.0139005 | + | 0.0518774i | ||||
\(664\) | 3.10141 | − | 5.37181i | 0.120358 | − | 0.208467i | ||||
\(665\) | −7.22626 | − | 25.4866i | −0.280222 | − | 0.988327i | ||||
\(666\) | 7.85451i | 0.304356i | ||||||||
\(667\) | −22.9415 | − | 22.9415i | −0.888299 | − | 0.888299i | ||||
\(668\) | 0.161225 | − | 0.601702i | 0.00623800 | − | 0.0232805i | ||||
\(669\) | 13.7709 | + | 7.95064i | 0.532414 | + | 0.307389i | ||||
\(670\) | 3.30276 | + | 1.84360i | 0.127597 | + | 0.0712246i | ||||
\(671\) | 2.80035 | − | 4.85034i | 0.108106 | − | 0.187245i | ||||
\(672\) | −0.933337 | − | 3.48326i | −0.0360043 | − | 0.134370i | ||||
\(673\) | 6.24147 | − | 1.67240i | 0.240591 | − | 0.0644662i | −0.136509 | − | 0.990639i | \(-0.543588\pi\) |
0.377100 | + | 0.926173i | \(0.376921\pi\) | |||||||
\(674\) | −20.9433 | −0.806708 | ||||||||
\(675\) | 3.43167 | − | 3.63644i | 0.132085 | − | 0.139966i | ||||
\(676\) | −6.23073 | − | 10.7919i | −0.239643 | − | 0.415074i | ||||
\(677\) | 11.6624 | + | 43.5247i | 0.448223 | + | 1.67279i | 0.707284 | + | 0.706929i | \(0.249920\pi\) |
−0.259062 | + | 0.965861i | \(0.583413\pi\) | |||||||
\(678\) | 0.372296 | + | 0.372296i | 0.0142979 | + | 0.0142979i | ||||
\(679\) | −24.3254 | + | 14.0443i | −0.933522 | + | 0.538969i | ||||
\(680\) | −3.61828 | + | 2.15947i | −0.138755 | + | 0.0828120i | ||||
\(681\) | 16.0895i | 0.616550i | ||||||||
\(682\) | 4.59143 | + | 3.90709i | 0.175815 | + | 0.149610i | ||||
\(683\) | 26.5615 | − | 26.5615i | 1.01635 | − | 1.01635i | 0.0164846 | − | 0.999864i | \(-0.494753\pi\) |
0.999864 | − | 0.0164846i | \(-0.00524746\pi\) | |||||||
\(684\) | − | 3.28530i | − | 0.125616i | ||||||
\(685\) | −5.63193 | − | 19.8635i | −0.215185 | − | 0.758945i | ||||
\(686\) | 3.59088 | 0.137100 | ||||||||
\(687\) | −11.5350 | + | 3.09081i | −0.440089 | + | 0.117922i | ||||
\(688\) | 1.95268 | − | 7.28750i | 0.0744453 | − | 0.277833i | ||||
\(689\) | 0.903981 | − | 0.521914i | 0.0344389 | − | 0.0198833i | ||||
\(690\) | −14.1551 | − | 3.57399i | −0.538877 | − | 0.136059i | ||||
\(691\) | 11.9853 | − | 20.7592i | 0.455943 | − | 0.789717i | −0.542799 | − | 0.839863i | \(-0.682635\pi\) |
0.998742 | + | 0.0501460i | \(0.0159687\pi\) | |||||||
\(692\) | 19.6440 | − | 5.26360i | 0.746754 | − | 0.200092i | ||||
\(693\) | −3.77170 | + | 1.01062i | −0.143275 | + | 0.0383904i | ||||
\(694\) | −12.0212 | − | 20.8214i | −0.456320 | − | 0.790370i | ||||
\(695\) | 11.8007 | − | 0.170903i | 0.447628 | − | 0.00648273i | ||||
\(696\) | 2.48461 | + | 4.30347i | 0.0941789 | + | 0.163123i | ||||
\(697\) | −4.79806 | + | 4.79806i | −0.181740 | + | 0.181740i | ||||
\(698\) | −5.34074 | + | 5.34074i | −0.202150 | + | 0.202150i | ||||
\(699\) | −3.74184 | − | 6.48106i | −0.141530 | − | 0.245136i | ||||
\(700\) | 17.5441 | + | 4.16037i | 0.663106 | + | 0.157247i | ||||
\(701\) | 3.85165 | + | 6.67126i | 0.145475 | + | 0.251970i | 0.929550 | − | 0.368696i | \(-0.120196\pi\) |
−0.784075 | + | 0.620666i | \(0.786862\pi\) | |||||||
\(702\) | 0.708853 | − | 0.189937i | 0.0267539 | − | 0.00716870i | ||||
\(703\) | −24.9251 | + | 6.67867i | −0.940069 | + | 0.251891i | ||||
\(704\) | 0.541403 | − | 0.937738i | 0.0204049 | − | 0.0353423i | ||||
\(705\) | 2.83731 | − | 1.69337i | 0.106859 | − | 0.0637761i | ||||
\(706\) | −16.8412 | + | 9.72325i | −0.633826 | + | 0.365939i | ||||
\(707\) | 2.67163 | − | 9.97067i | 0.100477 | − | 0.374986i | ||||
\(708\) | −6.38845 | + | 1.71178i | −0.240093 | + | 0.0643326i | ||||
\(709\) | 38.7764 | 1.45628 | 0.728140 | − | 0.685429i | \(-0.240385\pi\) | ||||
0.728140 | + | 0.685429i | \(0.240385\pi\) | |||||||
\(710\) | −28.7099 | + | 8.14018i | −1.07746 | + | 0.305495i | ||||
\(711\) | − | 9.08464i | − | 0.340701i | ||||||
\(712\) | 0.570717 | − | 0.570717i | 0.0213885 | − | 0.0213885i | ||||
\(713\) | 35.7553 | + | 6.55990i | 1.33905 | + | 0.245670i | ||||
\(714\) | 6.79550i | 0.254315i | ||||||||
\(715\) | 1.72278 | + | 0.434978i | 0.0644282 | + | 0.0162673i | ||||
\(716\) | −8.36506 | + | 4.82957i | −0.312617 | + | 0.180490i | ||||
\(717\) | 16.0335 | + | 16.0335i | 0.598784 | + | 0.598784i | ||||
\(718\) | −8.67236 | − | 32.3657i | −0.323650 | − | 1.20788i | ||||
\(719\) | 12.6235 | + | 21.8645i | 0.470777 | + | 0.815410i | 0.999441 | − | 0.0334212i | \(-0.0106403\pi\) |
−0.528664 | + | 0.848831i | \(0.677307\pi\) | |||||||
\(720\) | 1.95248 | + | 1.08987i | 0.0727646 | + | 0.0406172i | ||||
\(721\) | −30.8029 | −1.14716 | ||||||||
\(722\) | −7.92719 | + | 2.12408i | −0.295019 | + | 0.0790502i | ||||
\(723\) | −0.980841 | − | 3.66055i | −0.0364779 | − | 0.136137i | ||||
\(724\) | −1.93778 | + | 3.35633i | −0.0720169 | + | 0.124737i | ||||
\(725\) | −24.8357 | + | 0.719512i | −0.922374 | + | 0.0267220i | ||||
\(726\) | 8.51089 | + | 4.91376i | 0.315869 | + | 0.182367i | ||||
\(727\) | 4.03984 | − | 15.0769i | 0.149829 | − | 0.559171i | −0.849663 | − | 0.527325i | \(-0.823195\pi\) |
0.999493 | − | 0.0318454i | \(-0.0101384\pi\) | |||||||
\(728\) | 1.87128 | + | 1.87128i | 0.0693544 | + | 0.0693544i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −29.1633 | − | 16.2790i | −1.07938 | − | 0.602512i | ||||
\(731\) | −7.10860 | + | 12.3125i | −0.262921 | + | 0.455393i | ||||
\(732\) | −1.33871 | + | 4.99614i | −0.0494802 | + | 0.184663i | ||||
\(733\) | 3.68576 | + | 13.7555i | 0.136137 | + | 0.508069i | 0.999991 | + | 0.00432676i | \(0.00137726\pi\) |
−0.863854 | + | 0.503742i | \(0.831956\pi\) | |||||||
\(734\) | −14.2319 | + | 24.6504i | −0.525309 | + | 0.909861i | ||||
\(735\) | 9.35505 | − | 9.63000i | 0.345066 | − | 0.355208i | ||||
\(736\) | − | 6.52903i | − | 0.240663i | ||||||
\(737\) | 1.76923 | + | 0.474065i | 0.0651706 | + | 0.0174624i | ||||
\(738\) | 3.47813 | + | 0.931962i | 0.128032 | + | 0.0343060i | ||||
\(739\) | −8.04998 | + | 13.9430i | −0.296123 | + | 0.512901i | −0.975246 | − | 0.221124i | \(-0.929027\pi\) |
0.679122 | + | 0.734025i | \(0.262361\pi\) | |||||||
\(740\) | 4.29956 | − | 17.0288i | 0.158055 | − | 0.625992i | ||||
\(741\) | 1.20547 | + | 2.08794i | 0.0442841 | + | 0.0767023i | ||||
\(742\) | 3.62697 | − | 3.62697i | 0.133150 | − | 0.133150i | ||||
\(743\) | −30.2909 | − | 30.2909i | −1.11127 | − | 1.11127i | −0.992979 | − | 0.118287i | \(-0.962260\pi\) |
−0.118287 | − | 0.992979i | \(-0.537740\pi\) | |||||||
\(744\) | −5.02972 | − | 2.38788i | −0.184398 | − | 0.0875439i | ||||
\(745\) | 28.2318 | − | 16.8494i | 1.03433 | − | 0.617313i | ||||
\(746\) | 15.9895 | 0.585416 | ||||||||
\(747\) | 5.99147 | + | 1.60541i | 0.219216 | + | 0.0587389i | ||||
\(748\) | −1.44283 | + | 1.44283i | −0.0527551 | + | 0.0527551i | ||||
\(749\) | −52.6925 | − | 30.4220i | −1.92534 | − | 1.11160i | ||||
\(750\) | −9.43054 | + | 6.00541i | −0.344355 | + | 0.219287i | ||||
\(751\) | −6.99635 | − | 12.1180i | −0.255301 | − | 0.442193i | 0.709677 | − | 0.704528i | \(-0.248841\pi\) |
−0.964977 | + | 0.262334i | \(0.915508\pi\) | |||||||
\(752\) | 1.04488 | + | 1.04488i | 0.0381030 | + | 0.0381030i | ||||
\(753\) | −2.78915 | − | 10.4092i | −0.101642 | − | 0.379334i | ||||
\(754\) | −3.15814 | − | 1.82335i | −0.115013 | − | 0.0664026i | ||||
\(755\) | −0.298070 | − | 20.5815i | −0.0108479 | − | 0.749037i | ||||
\(756\) | 3.12301 | − | 1.80307i | 0.113583 | − | 0.0655770i | ||||
\(757\) | −12.7876 | − | 47.7239i | −0.464773 | − | 1.73455i | −0.657642 | − | 0.753331i | \(-0.728446\pi\) |
0.192869 | − | 0.981224i | \(-0.438221\pi\) | |||||||
\(758\) | 32.9057 | + | 8.81705i | 1.19519 | + | 0.320250i | ||||
\(759\) | −7.06968 | −0.256613 | ||||||||
\(760\) | −1.79837 | + | 7.12262i | −0.0652337 | + | 0.258365i | ||||
\(761\) | 28.9286 | − | 16.7019i | 1.04866 | − | 0.605444i | 0.126386 | − | 0.991981i | \(-0.459662\pi\) |
0.922274 | + | 0.386537i | \(0.126329\pi\) | |||||||
\(762\) | 10.2509 | − | 2.74673i | 0.371353 | − | 0.0995037i | ||||
\(763\) | 38.8181 | + | 10.4013i | 1.40531 | + | 0.376551i | ||||
\(764\) | 2.41506 | + | 1.39434i | 0.0873738 | + | 0.0504453i | ||||
\(765\) | −3.02237 | − | 2.93608i | −0.109274 | − | 0.106154i | ||||
\(766\) | −16.9694 | − | 9.79728i | −0.613129 | − | 0.353990i | ||||
\(767\) | 3.43201 | − | 3.43201i | 0.123923 | − | 0.123923i | ||||
\(768\) | −0.258819 | + | 0.965926i | −0.00933933 | + | 0.0348548i | ||||
\(769\) | 37.8277 | − | 21.8398i | 1.36410 | − | 0.787565i | 0.373935 | − | 0.927455i | \(-0.378008\pi\) |
0.990167 | + | 0.139890i | \(0.0446750\pi\) | |||||||
\(770\) | 8.73037 | − | 0.126437i | 0.314621 | − | 0.00455647i | ||||
\(771\) | − | 6.67351i | − | 0.240340i | ||||||
\(772\) | 5.78885 | − | 21.6043i | 0.208345 | − | 0.777555i | ||||
\(773\) | −17.6431 | − | 17.6431i | −0.634579 | − | 0.634579i | 0.314634 | − | 0.949213i | \(-0.398118\pi\) |
−0.949213 | + | 0.314634i | \(0.898118\pi\) | |||||||
\(774\) | 7.54458 | 0.271184 | ||||||||
\(775\) | 22.4467 | − | 16.4665i | 0.806308 | − | 0.591496i | ||||
\(776\) | 7.78908 | 0.279612 | ||||||||
\(777\) | −20.0284 | − | 20.0284i | −0.718515 | − | 0.718515i | ||||
\(778\) | −9.38077 | + | 35.0095i | −0.336317 | + | 1.25515i | ||||
\(779\) | 11.8298i | 0.423846i | ||||||||
\(780\) | −1.64079 | + | 0.0237626i | −0.0587496 | + | 0.000850836i | ||||
\(781\) | −12.5147 | + | 7.22534i | −0.447810 | + | 0.258543i | ||||
\(782\) | −3.18437 | + | 11.8842i | −0.113873 | + | 0.424980i | ||||
\(783\) | −3.51377 | + | 3.51377i | −0.125572 | + | 0.125572i | ||||
\(784\) | 5.19982 | + | 3.00212i | 0.185708 | + | 0.107218i | ||||
\(785\) | −33.5884 | − | 32.6294i | −1.19882 | − | 1.16459i | ||||
\(786\) | −12.3452 | − | 7.12749i | −0.440338 | − | 0.254229i | ||||
\(787\) | 27.7669 | + | 7.44012i | 0.989784 | + | 0.265212i | 0.717160 | − | 0.696909i | \(-0.245442\pi\) |
0.272624 | + | 0.962121i | \(0.412108\pi\) | |||||||
\(788\) | −9.07994 | + | 2.43296i | −0.323459 | + | 0.0866707i | ||||
\(789\) | −17.6409 | + | 10.1850i | −0.628031 | + | 0.362594i | ||||
\(790\) | −4.97293 | + | 19.6958i | −0.176929 | + | 0.700744i | ||||
\(791\) | −1.89865 | −0.0675083 | ||||||||
\(792\) | 1.04591 | + | 0.280251i | 0.0371648 | + | 0.00995829i | ||||
\(793\) | −0.982426 | − | 3.66646i | −0.0348870 | − | 0.130200i | ||||
\(794\) | −14.7154 | + | 8.49596i | −0.522231 | + | 0.301510i | ||||
\(795\) | 0.0460571 | + | 3.18021i | 0.00163348 | + | 0.112790i | ||||
\(796\) | −12.5563 | − | 7.24941i | −0.445048 | − | 0.256949i | ||||
\(797\) | −5.60846 | − | 20.9311i | −0.198662 | − | 0.741416i | −0.991288 | − | 0.131709i | \(-0.957954\pi\) |
0.792627 | − | 0.609707i | \(-0.208713\pi\) | |||||||
\(798\) | 8.37726 | + | 8.37726i | 0.296552 | + | 0.296552i | ||||
\(799\) | −1.39230 | − | 2.41153i | −0.0492560 | − | 0.0853138i | ||||
\(800\) | −3.63644 | − | 3.43167i | −0.128567 | − | 0.121328i | ||||
\(801\) | 0.698982 | + | 0.403558i | 0.0246973 | + | 0.0142590i | ||||
\(802\) | −2.38310 | + | 2.38310i | −0.0841501 | + | 0.0841501i | ||||
\(803\) | −15.6223 | − | 4.18599i | −0.551300 | − | 0.147720i | ||||
\(804\) | −1.69157 | −0.0596572 | ||||||||
\(805\) | 45.2079 | − | 26.9811i | 1.59337 | − | 0.950960i | ||||
\(806\) | 4.07277 | − | 0.327957i | 0.143457 | − | 0.0115518i | ||||
\(807\) | 11.2224 | + | 11.2224i | 0.395047 | + | 0.395047i | ||||
\(808\) | −2.02406 | + | 2.02406i | −0.0712062 | + | 0.0712062i | ||||
\(809\) | −21.3545 | − | 36.9870i | −0.750783 | − | 1.30039i | −0.947444 | − | 0.319923i | \(-0.896343\pi\) |
0.196660 | − | 0.980472i | \(-0.436990\pi\) | |||||||
\(810\) | −0.547399 | + | 2.16803i | −0.0192337 | + | 0.0761768i | ||||
\(811\) | 13.7121 | − | 23.7500i | 0.481495 | − | 0.833974i | −0.518279 | − | 0.855212i | \(-0.673427\pi\) |
0.999774 | + | 0.0212371i | \(0.00676048\pi\) | |||||||
\(812\) | −17.3091 | − | 4.63796i | −0.607430 | − | 0.162760i | ||||
\(813\) | −19.7038 | − | 5.27960i | −0.691041 | − | 0.185164i | ||||
\(814\) | − | 8.50492i | − | 0.298097i | ||||||
\(815\) | −24.6999 | + | 25.4259i | −0.865201 | + | 0.890630i | ||||
\(816\) | 0.942213 | − | 1.63196i | 0.0329840 | − | 0.0571300i | ||||
\(817\) | 6.41513 | + | 23.9416i | 0.224437 | + | 0.837611i | ||||
\(818\) | 3.27577 | − | 12.2254i | 0.114535 | − | 0.427450i | ||||
\(819\) | −1.32320 | + | 2.29185i | −0.0462363 | + | 0.0800836i | ||||
\(820\) | −7.03053 | − | 3.92445i | −0.245517 | − | 0.137048i | ||||
\(821\) | − | 22.1401i | − | 0.772695i | −0.922353 | − | 0.386348i | \(-0.873737\pi\) | ||
0.922353 | − | 0.386348i | \(-0.126263\pi\) | |||||||
\(822\) | 6.52899 | + | 6.52899i | 0.227725 | + | 0.227725i | ||||
\(823\) | 6.53848 | − | 24.4019i | 0.227917 | − | 0.850598i | −0.753298 | − | 0.657680i | \(-0.771538\pi\) |
0.981215 | − | 0.192919i | \(-0.0617953\pi\) | |||||||
\(824\) | 7.39742 | + | 4.27090i | 0.257701 | + | 0.148784i | ||||
\(825\) | −3.71583 | + | 3.93756i | −0.129369 | + | 0.137088i | ||||
\(826\) | 11.9252 | − | 20.6550i | 0.414929 | − | 0.718678i | ||||
\(827\) | −7.76700 | − | 28.9868i | −0.270085 | − | 1.00797i | −0.959064 | − | 0.283189i | \(-0.908607\pi\) |
0.688979 | − | 0.724781i | \(-0.258059\pi\) | |||||||
\(828\) | 6.30656 | − | 1.68984i | 0.219168 | − | 0.0587259i | ||||
\(829\) | 2.91941 | 0.101395 | 0.0506976 | − | 0.998714i | \(-0.483856\pi\) | ||||
0.0506976 | + | 0.998714i | \(0.483856\pi\) | |||||||
\(830\) | −12.1109 | − | 6.76030i | −0.420375 | − | 0.234654i | ||||
\(831\) | 14.2184 | + | 24.6271i | 0.493232 | + | 0.854303i | ||||
\(832\) | −0.189937 | − | 0.708853i | −0.00658487 | − | 0.0245751i | ||||
\(833\) | −8.00058 | − | 8.00058i | −0.277204 | − | 0.277204i | ||||
\(834\) | −4.57089 | + | 2.63900i | −0.158277 | + | 0.0913812i | ||||
\(835\) | −1.35053 | − | 0.340990i | −0.0467369 | − | 0.0118004i | ||||
\(836\) | 3.55734i | 0.123033i | ||||||||
\(837\) | 1.00473 | − | 5.47636i | 0.0347285 | − | 0.189291i | ||||
\(838\) | 15.9931 | − | 15.9931i | 0.552473 | − | 0.552473i | ||||
\(839\) | 57.3759i | 1.98084i | 0.138105 | + | 0.990418i | \(0.455899\pi\) | ||||
−0.138105 | + | 0.990418i | \(0.544101\pi\) | |||||||
\(840\) | −7.75777 | + | 2.19958i | −0.267669 | + | 0.0758926i | ||||
\(841\) | −4.30687 | −0.148513 | ||||||||
\(842\) | 16.1625 | − | 4.33072i | 0.556996 | − | 0.149247i | ||||
\(843\) | 3.01350 | − | 11.2465i | 0.103791 | − | 0.387351i | ||||
\(844\) | −1.42115 | + | 0.820503i | −0.0489181 | + | 0.0282429i | ||||
\(845\) | −23.9272 | + | 14.2803i | −0.823121 | + | 0.491258i | ||||
\(846\) | −0.738845 | + | 1.27972i | −0.0254020 | + | 0.0439976i | ||||
\(847\) | −34.2319 | + | 9.17240i | −1.17622 | + | 0.315167i | ||||
\(848\) | −1.37392 | + | 0.368140i | −0.0471805 | + | 0.0126420i | ||||
\(849\) | −12.9221 | − | 22.3818i | −0.443487 | − | 0.768141i | ||||
\(850\) | 4.94539 | + | 8.01995i | 0.169625 | + | 0.275082i | ||||
\(851\) | −25.6412 | − | 44.4118i | −0.878968 | − | 1.52242i | ||||
\(852\) | 9.43675 | − | 9.43675i | 0.323298 | − | 0.323298i | ||||
\(853\) | 27.8840 | − | 27.8840i | 0.954729 | − | 0.954729i | −0.0442894 | − | 0.999019i | \(-0.514102\pi\) |
0.999019 | + | 0.0442894i | \(0.0141024\pi\) | |||||||
\(854\) | −9.32617 | − | 16.1534i | −0.319135 | − | 0.552758i | ||||
\(855\) | −7.34538 | + | 0.106379i | −0.251207 | + | 0.00363808i | ||||
\(856\) | 8.43618 | + | 14.6119i | 0.288343 | + | 0.499424i | ||||
\(857\) | −13.4524 | + | 3.60455i | −0.459524 | + | 0.123129i | −0.481152 | − | 0.876637i | \(-0.659782\pi\) |
0.0216282 | + | 0.999766i | \(0.493115\pi\) | |||||||
\(858\) | −0.767551 | + | 0.205665i | −0.0262038 | + | 0.00702128i | ||||
\(859\) | −24.4612 | + | 42.3681i | −0.834606 | + | 1.44558i | 0.0597439 | + | 0.998214i | \(0.480972\pi\) |
−0.894350 | + | 0.447367i | \(0.852362\pi\) | |||||||
\(860\) | −16.3569 | − | 4.12990i | −0.557765 | − | 0.140828i | ||||
\(861\) | −11.2454 | + | 6.49253i | −0.383242 | + | 0.221265i | ||||
\(862\) | −3.36574 | + | 12.5611i | −0.114638 | + | 0.427834i | ||||
\(863\) | 50.3546 | − | 13.4925i | 1.71409 | − | 0.459290i | 0.737670 | − | 0.675161i | \(-0.235926\pi\) |
0.976422 | + | 0.215872i | \(0.0692592\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | −12.4046 | − | 43.7503i | −0.421769 | − | 1.48756i | ||||
\(866\) | − | 0.208835i | − | 0.00709650i | ||||||
\(867\) | 9.50984 | − | 9.50984i | 0.322971 | − | 0.322971i | ||||
\(868\) | 18.9143 | − | 6.73648i | 0.641993 | − | 0.228651i | ||||
\(869\) | 9.83691i | 0.333694i | ||||||||
\(870\) | 9.54139 | − | 5.69452i | 0.323483 | − | 0.193062i | ||||
\(871\) | 1.07506 | − | 0.620688i | 0.0364271 | − | 0.0210312i | ||||
\(872\) | −7.88012 | − | 7.88012i | −0.266855 | − | 0.266855i | ||||
\(873\) | 2.01596 | + | 7.52368i | 0.0682300 | + | 0.254638i | ||||
\(874\) | 10.7249 | + | 18.5761i | 0.362775 | + | 0.628345i | ||||
\(875\) | 8.73382 | − | 39.3605i | 0.295257 | − | 1.33063i | ||||
\(876\) | 14.9366 | 0.504660 | ||||||||
\(877\) | 26.7809 | − | 7.17592i | 0.904326 | − | 0.242313i | 0.223453 | − | 0.974715i | \(-0.428267\pi\) |
0.680873 | + | 0.732401i | \(0.261600\pi\) | |||||||
\(878\) | −3.49383 | − | 13.0392i | −0.117911 | − | 0.440050i | ||||
\(879\) | −1.22767 | + | 2.12639i | −0.0414084 | + | 0.0717214i | ||||
\(880\) | −2.11416 | − | 1.18012i | −0.0712682 | − | 0.0397820i | ||||
\(881\) | −26.9676 | − | 15.5697i | −0.908560 | − | 0.524558i | −0.0285927 | − | 0.999591i | \(-0.509103\pi\) |
−0.879968 | + | 0.475034i | \(0.842436\pi\) | |||||||
\(882\) | −1.55401 | + | 5.79964i | −0.0523262 | + | 0.195284i | ||||
\(883\) | −35.2381 | − | 35.2381i | −1.18586 | − | 1.18586i | −0.978202 | − | 0.207655i | \(-0.933417\pi\) |
−0.207655 | − | 0.978202i | \(-0.566583\pi\) | |||||||
\(884\) | 1.38290i | 0.0465120i | ||||||||
\(885\) | 4.03411 | + | 14.2281i | 0.135605 | + | 0.478272i | ||||
\(886\) | 6.85968 | − | 11.8813i | 0.230456 | − | 0.399161i | ||||
\(887\) | −6.00613 | + | 22.4152i | −0.201666 | + | 0.752628i | 0.788774 | + | 0.614683i | \(0.210716\pi\) |
−0.990440 | + | 0.137944i | \(0.955950\pi\) | |||||||
\(888\) | 2.03290 | + | 7.58688i | 0.0682196 | + | 0.254599i | ||||
\(889\) | −19.1352 | + | 33.1431i | −0.641773 | + | 1.11158i | ||||
\(890\) | −1.29451 | − | 1.25755i | −0.0433920 | − | 0.0421531i | ||||
\(891\) | 1.08281i | 0.0362754i | ||||||||
\(892\) | 15.3595 | + | 4.11555i | 0.514273 | + | 0.137799i | ||||
\(893\) | −4.68923 | − | 1.25648i | −0.156919 | − | 0.0420463i | ||||
\(894\) | −7.35165 | + | 12.7334i | −0.245876 | + | 0.425869i | ||||
\(895\) | 11.0690 | + | 18.5465i | 0.369995 | + | 0.619941i | ||||
\(896\) | −1.80307 | − | 3.12301i | −0.0602363 | − | 0.104332i | ||||
\(897\) | −3.38802 | + | 3.38802i | −0.113123 | + | 0.113123i | ||||
\(898\) | −14.4797 | − | 14.4797i | −0.483193 | − | 0.483193i | ||||
\(899\) | −22.7730 | + | 15.7123i | −0.759523 | + | 0.524034i | ||||
\(900\) | 2.37356 | − | 4.40071i | 0.0791185 | − | 0.146690i | ||||
\(901\) | 2.68037 | 0.0892962 | ||||||||
\(902\) | −3.76614 | − | 1.00913i | −0.125399 | − | 0.0336005i | ||||
\(903\) | −19.2381 | + | 19.2381i | −0.640204 | + | 0.640204i | ||||
\(904\) | 0.455967 | + | 0.263253i | 0.0151652 | + | 0.00875566i | ||||
\(905\) | 7.56694 | + | 4.22387i | 0.251534 | + | 0.140406i | ||||
\(906\) | 4.60264 | + | 7.97201i | 0.152913 | + | 0.264852i | ||||
\(907\) | 38.7165 | + | 38.7165i | 1.28556 | + | 1.28556i | 0.937456 | + | 0.348102i | \(0.113174\pi\) |
0.348102 | + | 0.937456i | \(0.386826\pi\) | |||||||
\(908\) | 4.16426 | + | 15.5412i | 0.138196 | + | 0.515754i | ||||
\(909\) | −2.47896 | − | 1.43123i | −0.0822218 | − | 0.0474708i | ||||
\(910\) | 4.12329 | − | 4.24447i | 0.136686 | − | 0.140703i | ||||
\(911\) | 37.0151 | − | 21.3707i | 1.22636 | − | 0.708042i | 0.260097 | − | 0.965582i | \(-0.416245\pi\) |
0.966268 | + | 0.257540i | \(0.0829120\pi\) | |||||||
\(912\) | −0.850297 | − | 3.17335i | −0.0281562 | − | 0.105080i | ||||
\(913\) | −6.48761 | − | 1.73835i | −0.214708 | − | 0.0575309i | ||||
\(914\) | −15.7763 | −0.521833 | ||||||||
\(915\) | 11.2139 | + | 2.83136i | 0.370720 | + | 0.0936019i | ||||
\(916\) | −10.3420 | + | 5.97098i | −0.341711 | + | 0.197287i | ||||
\(917\) | 49.6538 | − | 13.3047i | 1.63971 | − | 0.439360i | ||||
\(918\) | 1.82022 | + | 0.487725i | 0.0600760 | + | 0.0160973i | ||||
\(919\) | 13.6291 | + | 7.86878i | 0.449584 | + | 0.259567i | 0.707654 | − | 0.706559i | \(-0.249753\pi\) |
−0.258071 | + | 0.966126i | \(0.583087\pi\) | |||||||
\(920\) | −14.5978 | + | 0.211412i | −0.481276 | + | 0.00697004i | ||||
\(921\) | 19.9335 | + | 11.5086i | 0.656830 | + | 0.379221i | ||||
\(922\) | 15.8718 | − | 15.8718i | 0.522710 | − | 0.522710i | ||||
\(923\) | −2.53481 | + | 9.46005i | −0.0834344 | + | 0.311381i | ||||
\(924\) | −3.38161 | + | 1.95238i | −0.111247 | + | 0.0642284i | ||||
\(925\) | −38.2128 | − | 9.06169i | −1.25643 | − | 0.297947i | ||||
\(926\) | 35.4099i | 1.16364i | ||||||||
\(927\) | −2.21078 | + | 8.25075i | −0.0726116 | + | 0.270990i | ||||
\(928\) | 3.51377 | + | 3.51377i | 0.115345 | + | 0.115345i | ||||
\(929\) | 23.9611 | 0.786137 | 0.393068 | − | 0.919509i | \(-0.371414\pi\) | ||||
0.393068 | + | 0.919509i | \(0.371414\pi\) | |||||||
\(930\) | −5.17604 | + | 11.3229i | −0.169729 | + | 0.371293i | ||||
\(931\) | −19.7257 | −0.646483 | ||||||||
\(932\) | −5.29177 | − | 5.29177i | −0.173338 | − | 0.173338i | ||||
\(933\) | −1.74961 | + | 6.52965i | −0.0572798 | + | 0.213771i | ||||
\(934\) | 21.7187i | 0.710659i | ||||||||
\(935\) | 3.27264 | + | 3.17921i | 0.107027 | + | 0.103971i | ||||
\(936\) | 0.635540 | − | 0.366929i | 0.0207733 | − | 0.0119935i | ||||
\(937\) | −6.07649 | + | 22.6778i | −0.198510 | + | 0.740851i | 0.792820 | + | 0.609456i | \(0.208612\pi\) |
−0.991330 | + | 0.131395i | \(0.958055\pi\) | |||||||
\(938\) | 4.31338 | − | 4.31338i | 0.140837 | − | 0.140837i | ||||
\(939\) | −5.96594 | − | 3.44444i | −0.194691 | − | 0.112405i | ||||
\(940\) | 2.30235 | − | 2.37002i | 0.0750945 | − | 0.0773016i | ||||
\(941\) | −39.3671 | − | 22.7286i | −1.28333 | − | 0.740932i | −0.305876 | − | 0.952071i | \(-0.598949\pi\) |
−0.977456 | + | 0.211140i | \(0.932282\pi\) | |||||||
\(942\) | 20.2285 | + | 5.42021i | 0.659080 | + | 0.176600i | ||||
\(943\) | −22.7088 | + | 6.08481i | −0.739501 | + | 0.198149i | ||||
\(944\) | −5.72773 | + | 3.30690i | −0.186422 | + | 0.107631i | ||||
\(945\) | −4.13249 | − | 6.92414i | −0.134430 | − | 0.225242i | ||||
\(946\) | −8.16932 | −0.265608 | ||||||||
\(947\) | 20.4805 | + | 5.48773i | 0.665526 | + | 0.178327i | 0.575739 | − | 0.817634i | \(-0.304715\pi\) |
0.0897873 | + | 0.995961i | \(0.471381\pi\) | |||||||
\(948\) | −2.35128 | − | 8.77509i | −0.0763660 | − | 0.285002i | ||||
\(949\) | −9.49279 | + | 5.48067i | −0.308149 | + | 0.177910i | ||||
\(950\) | 15.9832 | + | 3.79022i | 0.518564 | + | 0.122971i | ||||
\(951\) | −21.2941 | − | 12.2942i | −0.690510 | − | 0.398666i | ||||
\(952\) | 1.75880 | + | 6.56395i | 0.0570032 | + | 0.212739i | ||||
\(953\) | 32.1879 | + | 32.1879i | 1.04267 | + | 1.04267i | 0.999048 | + | 0.0436214i | \(0.0138895\pi\) |
0.0436214 | + | 0.999048i | \(0.486110\pi\) | |||||||
\(954\) | −0.711191 | − | 1.23182i | −0.0230257 | − | 0.0398816i | ||||
\(955\) | 3.03930 | − | 5.44482i | 0.0983495 | − | 0.176190i | ||||
\(956\) | 19.6370 | + | 11.3374i | 0.635106 | + | 0.366679i | ||||
\(957\) | 3.80473 | − | 3.80473i | 0.122990 | − | 0.122990i | ||||
\(958\) | −17.9423 | − | 4.80763i | −0.579690 | − | 0.155328i | ||||
\(959\) | −33.2969 | −1.07521 | ||||||||
\(960\) | 2.16803 | + | 0.547399i | 0.0699729 | + | 0.0176672i | ||||
\(961\) | 11.0045 | − | 28.9810i | 0.354984 | − | 0.934872i | ||||
\(962\) | −4.07584 | − | 4.07584i | −0.131410 | − | 0.131410i | ||||
\(963\) | −11.9306 | + | 11.9306i | −0.384457 | + | 0.384457i | ||||
\(964\) | −1.89484 | − | 3.28196i | −0.0610287 | − | 0.105705i | ||||
\(965\) | −48.4910 | − | 12.2433i | −1.56098 | − | 0.394127i | ||||
\(966\) | −11.7723 | + | 20.3902i | −0.378767 | + | 0.656044i | ||||
\(967\) | −9.96935 | − | 2.67128i | −0.320593 | − | 0.0859025i | 0.0949340 | − | 0.995484i | \(-0.469736\pi\) |
−0.415527 | + | 0.909581i | \(0.636403\pi\) | |||||||
\(968\) | 9.49266 | + | 2.54355i | 0.305106 | + | 0.0817529i | ||||
\(969\) | 6.19090i | 0.198880i | ||||||||
\(970\) | −0.252213 | − | 17.4151i | −0.00809806 | − | 0.559165i | ||||
\(971\) | 9.88883 | − | 17.1280i | 0.317348 | − | 0.549662i | −0.662586 | − | 0.748986i | \(-0.730541\pi\) |
0.979934 | + | 0.199323i | \(0.0638744\pi\) | |||||||
\(972\) | −0.258819 | − | 0.965926i | −0.00830162 | − | 0.0309821i | ||||
\(973\) | 4.92616 | − | 18.3847i | 0.157925 | − | 0.589385i | ||||
\(974\) | 9.75046 | − | 16.8883i | 0.312425 | − | 0.541136i | ||||
\(975\) | 0.106258 | + | 3.66776i | 0.00340299 | + | 0.117462i | ||||
\(976\) | 5.17239i | 0.165564i | ||||||||
\(977\) | 2.02295 | + | 2.02295i | 0.0647198 | + | 0.0647198i | 0.738726 | − | 0.674006i | \(-0.235428\pi\) |
−0.674006 | + | 0.738726i | \(0.735428\pi\) | |||||||
\(978\) | 4.10302 | − | 15.3127i | 0.131200 | − | 0.489645i | ||||
\(979\) | −0.756863 | − | 0.436975i | −0.0241894 | − | 0.0139658i | ||||
\(980\) | 6.54386 | − | 11.7231i | 0.209036 | − | 0.374482i | ||||
\(981\) | 5.57209 | − | 9.65114i | 0.177903 | − | 0.308137i | ||||
\(982\) | 2.85007 | + | 10.6366i | 0.0909495 | + | 0.339428i | ||||
\(983\) | −9.55770 | + | 2.56098i | −0.304843 | + | 0.0816825i | −0.407998 | − | 0.912983i | \(-0.633773\pi\) |
0.103155 | + | 0.994665i | \(0.467106\pi\) | |||||||
\(984\) | 3.60082 | 0.114790 | ||||||||
\(985\) | 5.73371 | + | 20.2224i | 0.182691 | + | 0.644341i | ||||
\(986\) | −4.68206 | − | 8.10957i | −0.149107 | − | 0.258261i | ||||
\(987\) | −1.37918 | − | 5.14718i | −0.0438999 | − | 0.163837i | ||||
\(988\) | 1.70479 | + | 1.70479i | 0.0542367 | + | 0.0542367i | ||||
\(989\) | −42.6594 | + | 24.6294i | −1.35649 | + | 0.783169i | ||||
\(990\) | 0.592728 | − | 2.34756i | 0.0188381 | − | 0.0746103i | ||||
\(991\) | 2.45475i | 0.0779777i | 0.999240 | + | 0.0389888i | \(0.0124137\pi\) | ||||
−0.999240 | + | 0.0389888i | \(0.987586\pi\) | |||||||
\(992\) | −5.47636 | − | 1.00473i | −0.173875 | − | 0.0319001i | ||||
\(993\) | 5.84218 | − | 5.84218i | 0.185396 | − | 0.185396i | ||||
\(994\) | 48.1260i | 1.52646i | ||||||||
\(995\) | −15.8019 | + | 28.3086i | −0.500954 | + | 0.897444i | ||||
\(996\) | 6.20283 | 0.196544 | ||||||||
\(997\) | 18.6855 | − | 5.00675i | 0.591774 | − | 0.158565i | 0.0495102 | − | 0.998774i | \(-0.484234\pi\) |
0.542264 | + | 0.840208i | \(0.317567\pi\) | |||||||
\(998\) | −3.69106 | + | 13.7752i | −0.116839 | + | 0.436047i | ||||
\(999\) | −6.80221 | + | 3.92726i | −0.215212 | + | 0.124253i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.be.b.37.15 | yes | 64 | |
5.3 | odd | 4 | 930.2.be.a.223.12 | ✓ | 64 | ||
31.26 | odd | 6 | 930.2.be.a.367.12 | yes | 64 | ||
155.88 | even | 12 | inner | 930.2.be.b.553.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.be.a.223.12 | ✓ | 64 | 5.3 | odd | 4 | ||
930.2.be.a.367.12 | yes | 64 | 31.26 | odd | 6 | ||
930.2.be.b.37.15 | yes | 64 | 1.1 | even | 1 | trivial | |
930.2.be.b.553.15 | yes | 64 | 155.88 | even | 12 | inner |